Call Now to Set Up Tutoring:

(888) 888-0446

Intermediate Geometry : How to find an angle in an acute / obtuse triangle

Study concepts, example questions & explanations for Intermediate Geometry

Create An Account

All Intermediate Geometry Resources

8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Find An Angle In An Acute / Obtuse Triangle

In ΔABC, A = 75°, a = 13, and b = 6.

Find B (to the nearest tenth).

Possible Answers:

30.4°

28.1°

34.9°

26.5°

27.8°

Correct answer:

26.5°

Explanation:

This problem requires us to use either the Law of Sines or the Law of Cosines. To figure out which one we should use, let's write down all the information we have in this format:

A = 75° a = 13

B = ? b = 6

C = ? c = ?

Now we can easily see that we have a complete pair, A and a. This tells us that we can use the Law of Sines. (We use the Law of Cosines when we do not have a complete pair).

Law of Sines:
$\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}$

To solve for b, we can use the first two terms which gives us:
$\frac{\sin 75°}{13}=\frac{\sin B°}{6}$
$\sin B =6*\frac{\sin 75}{13}$
B=26.5°

Report an Error

Example Question #2 : Acute / Obtuse Triangles

Points A, B, and C are collinear (they lie along the same line). The measure of angle CAD is $30^{\circ}$ . The measure of angle CBD is $60^{\circ}$ . The length of segment $\overline{AD}$ is 4.

Find the measure of $\dpi{100} \small \angle ADB$ .

Possible Answers:

$30^{\circ}$

$90^{\circ}$

$60^{\circ}$

$15^{\circ}$

$45^{\circ}$

Correct answer:

$30^{\circ}$

Explanation:

The measure of $\dpi{100} \small \angle ADB$ is $30^{\circ}$ . Since $\dpi{100} \small A$ , $\dpi{100} \small B$ , and $\dpi{100} \small C$ are collinear, and the measure of $\dpi{100} \small \angle CBD$ is $60^{\circ}$ , we know that the measure of $\dpi{100} \small \angle ABD$ is $120^{\circ}$ .

Because the measures of the three angles in a triangle must add up to $180^{\circ}$ , and two of the angles in triangle $\dpi{100} \small ABD$ are $30^{\circ}$ and $120^{\circ}$ , the third angle, $\dpi{100} \small \angle ADB$ , is $30^{\circ}$ .

Report an Error

Example Question #1 : How To Find An Angle In An Acute / Obtuse Triangle

The largest angle in an obtuse scalene triangle is 120 degrees. The second largest angle in the triangle is $\frac{1}{3}$ the measurement of the largest angle. What is the measurement of the smallest angle in the obtuse scalene triangle?

Possible Answers:

$15^\circ$

$40^\circ$

$25^\circ$

$20^\circ$

$30^\circ$

Correct answer:

$20^\circ$

Explanation:

Since this is a scalene triangle, all of the interior angles will have different measures. However, it's fundemental to note that in any triangle the sum of the measurements of the three interior angles must equal 180 degrees.

The largest angle is equal to 120 degrees and second interior angle must equal:

$120\div3=40$

120+40=160

Therefore, the final angle must equal:

180-160=20

Report an Error

Example Question #2 : How To Find An Angle In An Acute / Obtuse Triangle

In an obtuse isosceles triangle the largest angle is 133 degrees. Find the measurement of one of the two equivalent interior angles.

Possible Answers:

$24^\circ$

$47^\circ$

$23\frac{1}{2}^\circ$

$47\frac{1}{2}^\circ$

$31^\circ$

Correct answer:

$23\frac{1}{2}^\circ$

Explanation:

An obtuse isosceles triangle has one obtuse interior angle and two equivalent acute interior angles. Since the sum total of the interior angles of every triangle must equal 180 degrees, the solution is:

180-133=47

$47\div2=23\frac{1}{2}$

Report an Error

Example Question #3 : How To Find An Angle In An Acute / Obtuse Triangle

In an acute scalene triangle the measurement of the interior angles range from degrees to degrees. Find the measurement of the median interior angle.

Possible Answers:

$69^\circ$

$67^\circ$

$72^\circ$

$12^\circ$

$47^\circ$

Correct answer:

$67^\circ$

Explanation:

Acute scalene triangles must have three different acute interior angles--which always have a sum of 180 degrees.

Thus, the solution is:

79+34=113

180-113=67

Report an Error

Example Question #2 : How To Find An Angle In An Acute / Obtuse Triangle

The largest angle in an obtuse scalene triangle is 115 degrees. The smallest interior angle is $\frac{1}{5}$ the measurement of the largest interior angle. Find the measurement of the third interior angle.

Possible Answers:

$42^\circ$

$23^\circ$

$44^\circ$

$38^\circ$

$46^\circ$

Correct answer:

$42^\circ$

Explanation:

An obtuse scalene triangle must have one obtuse interior angle and two acute angles.

Therefore the solution is:

$115\div5=23$

115+23=138

All triangles have three interior angles with a sum total of 180 degrees.

Thus,

180-138=42

Report an Error

Example Question #7 : How To Find An Angle In An Acute / Obtuse Triangle

The largest angle in an obtuse isosceles triangle is degrees. Find the measurement for one of the equivalent acute interior angles.

Possible Answers:

$86^\circ$

$49^\circ$

$43^\circ$

$84^\circ$

$37^\circ$

Correct answer:

$43^\circ$

Explanation:

Report an Error

Example Question #8 : How To Find An Angle In An Acute / Obtuse Triangle

In an acute isosceles triangle the largest interior angle is degrees. Find the measure for one of the two equivalent acute interior angles.

Possible Answers:

$39^\circ$

$46^\circ$

$49^\circ$

$44^\circ$

$48^\circ$

Correct answer:

$46^\circ$

Explanation:

The sum of the three interior angles in any triangle must equal 180 degrees. Therefore, the solution is:

180-88=92

$92\div 2= 46$

Report an Error

Example Question #9 : How To Find An Angle In An Acute / Obtuse Triangle

_tkady_vt_custome_tri.

Find the value of .

Possible Answers:

$28^\circ$

$34^\circ$

$38^\circ$

$37^\circ$

$27^\circ$

Correct answer:

$38^\circ$

Explanation:

To find the value of , consider the fundamental notion that the sum of the three interior angles of any triangle must equal 180 degrees.

Thus, the solution is:

90+52=142

180-142=38

Report an Error

Example Question #2 : How To Find An Angle In An Acute / Obtuse Triangle

An obtuse isosceles triangle has an interior angle with a measure of 140 degrees.

Select the answer choice that displays the correct measurements for the two other interior angles of the triangle.

Possible Answers:

$10^\circ$ , $15^\circ$

$15^\circ$ , $25^\circ$

$30^\circ$ , $10^\circ$

$20^\circ$ , $20^\circ$

$20^\circ$ , $40^\circ$

Correct answer:

$20^\circ$ , $20^\circ$

Explanation:

Report an Error

View Tutors

Anne
Certified Tutor

University of Maryland-Baltimore, Doctor of Science, Accounting.

View Tutors

Satweka
Certified Tutor

The University of Texas at Dallas, Master of Science, Biomedical Engineering.

View Tutors

Tonja
Certified Tutor

McNeese State University, Bachelor in Arts, English.

All Intermediate Geometry Resources

8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Math Tutors in Los Angeles, Physics Tutors in Dallas Fort Worth, MCAT Tutors in Seattle, Reading Tutors in Miami, Physics Tutors in Miami, GRE Tutors in Philadelphia, Biology Tutors in San Francisco-Bay Area, GMAT Tutors in Washington DC, Algebra Tutors in San Diego, Statistics Tutors in San Diego

Popular Courses & Classes

ACT Courses & Classes in San Francisco-Bay Area, LSAT Courses & Classes in Philadelphia, Spanish Courses & Classes in Seattle, ACT Courses & Classes in Chicago, SSAT Courses & Classes in Denver, SSAT Courses & Classes in New York City, SSAT Courses & Classes in Atlanta, SSAT Courses & Classes in San Diego, GRE Courses & Classes in Los Angeles, LSAT Courses & Classes in Chicago

Popular Test Prep

ISEE Test Prep in Washington DC, SAT Test Prep in Phoenix, ISEE Test Prep in Houston, LSAT Test Prep in San Diego, SAT Test Prep in San Diego, GMAT Test Prep in Seattle, GMAT Test Prep in San Diego, ACT Test Prep in Seattle, LSAT Test Prep in San Francisco-Bay Area, GRE Test Prep in Los Angeles

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Intermediate Geometry : How to find an angle in an acute / obtuse triangle

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

Example Question #1 : How To Find An Angle In An Acute / Obtuse Triangle

Example Question #2 : Acute / Obtuse Triangles

Example Question #1 : How To Find An Angle In An Acute / Obtuse Triangle

Example Question #2 : How To Find An Angle In An Acute / Obtuse Triangle

Example Question #3 : How To Find An Angle In An Acute / Obtuse Triangle

Example Question #2 : How To Find An Angle In An Acute / Obtuse Triangle

Example Question #7 : How To Find An Angle In An Acute / Obtuse Triangle

Example Question #8 : How To Find An Angle In An Acute / Obtuse Triangle

Example Question #9 : How To Find An Angle In An Acute / Obtuse Triangle

Example Question #2 : How To Find An Angle In An Acute / Obtuse Triangle

All Intermediate Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: