Call Now to Set Up Tutoring:

(888) 888-0446

HSPT Math : How to find the measure of an angle

Study concepts, example questions & explanations for HSPT Math

Create An Account

All HSPT Math Resources

6 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Find The Measure Of An Angle

What is the sum of the interior angles of a triangle?

Possible Answers:

180

270

360

Correct answer:

180

Explanation:

The sum of the three interior angles of a triangle is 180 degrees.

Report an Error

Example Question #1 : How To Find The Measure Of An Angle

Two of the interior angles of a triangle measure $50^{\circ }$ and $45^{\circ}$ . What is the greatest measure of any of its exterior angles?

Possible Answers:

$135^{\circ }$

$85^{\circ }$

It cannot be determined from the information given.

$130^{\circ }$

$95^{\circ }$

Correct answer:

$135^{\circ }$

Explanation:

The interior angles of a triangle must have measures whose sum is $180^{\circ }$ , so the measure of the third angle must be $180 - (50+45) = 85^{\circ }$ .

By the Triangle Exterior-Angle Theorem, an exterior angle of a triangle measures the sum of its remote interior angles; therefore, to get the greatest measure of any exterior angle, we add the two greatest interior angle measures: $50+85= 135^{\circ }$

Report an Error

Example Question #1 : How To Find An Angle Of A Line

Two angles are supplementary and have a ratio of 1:4. What is the size of the smaller angle?

Possible Answers:

$45^{\circ}$

$72^{\circ}$

$144^{\circ}$

$36^{\circ}$

$18^{\circ}$

Correct answer:

$36^{\circ}$

Explanation:

Since the angles are supplementary, their sum is 180 degrees. Because they are in a ratio of 1:4, the following expression could be written:

$x+4x=180$

$5x=180$

$x=36^{\circ}$

Report an Error

Example Question #1 : Acute / Obtuse Triangles

In a given triangle, the angles are in a ratio of 1:3:5. What size is the middle angle?

Possible Answers:

$45^{\circ}$

$60^{\circ}$

$75^{\circ}$

$20^{\circ}$

$90^{\circ}$

Correct answer:

$60^{\circ}$

Explanation:

Since the sum of the angles of a triangle is $180^{\circ}$ , and given that the angles are in a ratio of 1:3:5, let the measure of the smallest angle be , then the following expression could be written:

$x+3x+5x=180$

$9x=180$

$x=20$

If the smallest angle is 20 degrees, then given that the middle angle is in ratio of 1:3, the middle angle would be 3 times as large, or 60 degrees.

Report an Error

Example Question #1 : Right Triangles

The measure of 3 angles in a triangle are in a 1:2:3 ratio. What is the measure of the middle angle?

Possible Answers:

Correct answer: 60

Explanation:

The angles in a triangle sum to 180 degrees. This makes the middle angle 60 degrees.

Report an Error

Example Question #3 : How To Find The Measure Of An Angle

Call the three angles of a triangle $\angle 1, \angle 2, \angle 3$ .

The measure of $\angle2$ is twenty degrees greater than that of $\angle 1$ ; the measure of $\angle 3$ is thirty degrees less than twice that of $\angle 1$ . If is the measure of $\angle 1$ , then which of the following equations would we need to solve in order to calculate the measures of the angles?

Possible Answers:

x + (x+20) = (2x+30)

x + (x-20) + 2(x-30) = 180

x + (x+20) + (2x-30) = 360

x + (x-20) + 2(x-30) = 360

x + (x+20) + (2x-30) = 180

Correct answer:

x + (x+20) + (2x-30) = 180

Explanation:

The measure of $\angle2$ is twenty degrees greater than the measure of $\angle 1$ , so its measure is 20 added to that of $\angle 1$ - that is, x + 2 0 .

The measure of $\angle 3$ is thirty degrees less than twice that of $\angle 1$ . Twice the measure of $\angle 1$ is , and thirty degrees less than this is 30 subtracted from - that is, 2x-30 .

The sum of the measures of the three angles of a triangle is 180, so, to solve for - thereby allowing us to calulate all three angle measures - we add these three expressions and set the sum equal to 180. This yields the equation:

x + (x+20) + (2x-30) = 180

Report an Error

Example Question #4 : How To Find The Measure Of An Angle

Call the three angles of a triangle $\angle 1, \angle 2, \angle 3$ .

The measure of $\angle2$ is forty degrees less than that of $\angle 1$ ; the measure of $\angle 3$ is ten degrees less than twice that of $\angle 1$ . If is the measure of $\angle 1$ , then which of the following equations would we need to solve in order to calculate the measures of the angles?

Possible Answers:

x + (x-40) + 2 (x - 10) = 180

x + (x-40) + (2x - 10) = 360

x + (x-40) = (2x - 10)

x + (x-40) + 2 (x - 10) = 360

x + (x-40) + (2x - 10) = 180

Correct answer:

x + (x-40) + (2x - 10) = 180

Explanation:

The measure of $\angle2$ is forty degrees less than the measure of $\angle 1$ , so its measure is 40 subtracted from that of $\angle 1$ - that is, x -40 .

The measure of $\angle 3$ is ten degrees less than twice that of $\angle 1$ . Twice the measure of $\angle 1$ is , and ten degrees less than this is 10 subtracted from - that is, 2x-10 .

x + (x-40) + (2x - 10) = 180

Report an Error

Example Question #4 : How To Find The Measure Of An Angle

Two interior angles of a triangle adds up to degrees. What is the measure of the other angle?

Possible Answers:

148

116

Correct answer:

116

Explanation:

The sum of the three angles of a triangle add up to 180 degrees. Subtract 64 degrees to determine the third angle.

180-64= 116

Report an Error

Example Question #1 : How To Find The Measure Of An Angle

What is $\frac{1}{5}$ of the measure of a right angle?

Possible Answers:

$18$^{\circ}$$

$45$^{\circ}$$

$450$^{\circ}$$

$85$^{\circ}$$

$22$^{\circ}$$

Correct answer:

$18$^{\circ}$$

Explanation:

A right angle has a measure of $90$^{\circ}$$ . One fifth of the angle is:

$\angle A=\frac{90}{5}= 18$^{\circ}$$

Report an Error

Example Question #6 : How To Find The Measure Of An Angle

What angle is complementary to $65$^{\circ}$$ ?

Possible Answers:

$130$^{\circ}$$

$25$^{\circ}$$

$115$^{\circ}$$

$65$^{\circ}$$

$35$^{\circ}$$

Correct answer:

$25$^{\circ}$$

Explanation:

To find the other angle, subtract the given angle from $90$^{\circ}$$ since complementary angles add up to $90$^{\circ}$$ .

The complementary is:

$\angle 90-\angle65 = \angle25$

Report an Error

View Tutors

Magdy
Certified Tutor

Cairo University, Egypt, Bachelor of Science, Electrical Engineering. New Mexico State University-Main Campus, Doctor of Phil...

View Tutors

Kevin
Certified Tutor

St. Johns University, Bachelors, Math/Coaching.

View Tutors

Ana Maria
Certified Tutor

Florida International University, Bachelor of Science, Mathematics Teacher Education.

All HSPT Math Resources

6 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Chemistry Tutors in Dallas Fort Worth, Computer Science Tutors in San Francisco-Bay Area, Spanish Tutors in San Diego, SSAT Tutors in San Diego, Physics Tutors in Atlanta, Computer Science Tutors in New York City, SSAT Tutors in Miami, Statistics Tutors in Denver, Algebra Tutors in Chicago, French Tutors in Dallas Fort Worth

Popular Courses & Classes

ISEE Courses & Classes in Seattle, Spanish Courses & Classes in Chicago, SAT Courses & Classes in Miami, GMAT Courses & Classes in Atlanta, LSAT Courses & Classes in Atlanta, GRE Courses & Classes in Seattle, GMAT Courses & Classes in Washington DC, ACT Courses & Classes in San Diego, Spanish Courses & Classes in Atlanta, SSAT Courses & Classes in San Francisco-Bay Area

Popular Test Prep

GMAT Test Prep in Boston, GRE Test Prep in Denver, GMAT Test Prep in Philadelphia, GRE Test Prep in San Diego, LSAT Test Prep in San Diego, ACT Test Prep in New York City, GRE Test Prep in Miami, GMAT Test Prep in Washington DC, GRE Test Prep in Seattle, SSAT Test Prep in Phoenix

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

HSPT Math : How to find the measure of an angle

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #1 : How To Find The Measure Of An Angle

Example Question #1 : How To Find The Measure Of An Angle

Example Question #1 : How To Find An Angle Of A Line

Example Question #1 : Acute / Obtuse Triangles

Example Question #1 : Right Triangles

Example Question #3 : How To Find The Measure Of An Angle

Example Question #4 : How To Find The Measure Of An Angle

Example Question #4 : How To Find The Measure Of An Angle

Example Question #1 : How To Find The Measure Of An Angle

Example Question #6 : How To Find The Measure Of An Angle

All HSPT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: