Call Now to Set Up Tutoring:

(888) 888-0446

GED Math : Angle Geometry

Study concepts, example questions & explanations for GED Math

Create An Account

All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Angle Geometry

Thingy

Refer to the above figure. You are given that $\overleftrightarrow{AE} ||\overleftrightarrow{BD}$ .

Which two angles must be complementary?

Possible Answers:

$\angle AFC$ and $\angle EFG$

$\angle ECD$ and $\angle DEC$

$\angle AFG$ and $\angle GFE$

$\angle EFC$ and $\angle FCD$

Correct answer:

$\angle ECD$ and $\angle DEC$

Explanation:

$\angle AFG$ and $\angle GFE$ form a linear pair, so their measures add up to that of a straight angle, which is $180^{\circ }$ . They must be supplementary (and cannot be complementary).

$\angle AFC$ and $\angle EFG$ are a pair of vertical angles - angles formed from a pair of intersecting lines which together have the lines as the union. They must be congruent, and need not be complementary.

$\angle EFC$ and $\angle FCD$ are a pair of same-side interior angles formed by transversal $\overleftrightarrow{FC}$ across the parallel lines. They must be supplementary (and cannot be complementary).

$\angle ECD$ and $\angle DEC$ are the acute angles of right triangle $\Delta DEC$ . They must be complementary. This is the correct pair.

Report an Error

Example Question #2 : Angle Geometry

Angles A and B are complementary angles. The measure of angle A is 5x - 17 , The measure of Angle B is 3x - 29 . find the value of .

Possible Answers:

x = 29

x = 10

x = 17

x = -17

x = 5

Correct answer:

x = 17

Explanation:

Since angles A and B are complementary, their measures add up to 90 degrees. Therefore we can set up our equation as such:

A + B = 90

-or-

5x - 17 + 3x - 29 = 90

Combine like terms and solve for :

8x - 46 = 90

8x = 136

x = 17

Report an Error

Example Question #2 : Angle Geometry

What is the measure of an angle that is complementary to an angle measuring 72^o ?

Possible Answers:

18^o

108^o

72^o

144^o

Correct answer:

18^o

Explanation:

The sum of complementary angles is equal to 90^o .

Set up the following equation and solve for :

72+x=90

72-72+x=90-72

x=18

Report an Error

Example Question #4 : Angle Geometry

Angles A and B are complementary angles. The measure of angle A is 4x + 25 . The measure of angle B is 6x - 15 . Solve for .

Possible Answers:

x = -5

x = 8

x = -8

x = 5

x = 17

Correct answer:

x = 8

Explanation:

Since angles A and B are complementary angles, their measurements add up to equal 90. Therefore, we need to set up our equation as follows:

A + B = 90

-or-

4x + 25 + 6x - 15 = 90

Combine like terms:

10x + 10 = 90

And solve for :

10x = 80

x = 8

Report an Error

Example Question #3 : Angle Geometry

Angles A and B are complementary angles. The measure of angle A is -2x + 50 . The measure of angle B is 5x - 20 . What are the measures of the two angles?

Possible Answers:

$Angle A = 14^{\circ}$

$Angle B = 76^{\circ}$

$Angle A = 15^{\circ}$

$Angle B = 75^{\circ}$

$Angle A = 10^{\circ}$

$Angle B = 80^{\circ}$

$Angle A = 20^{\circ}$

$Angle B = 70^{\circ}$

No solution

Correct answer:

$Angle A = 10^{\circ}$

$Angle B = 80^{\circ}$

Explanation:

Since angles A and B are complementary, their measures add up to equal 90 degrees. Therefore we can set up an equation as follows:

A + B = 90

-or-

-2x + 50 + 5x - 20 = 90

Combine like terms and solve for :

3x + 30 = 90

3x = 60

x = 20

Now that we have found , we need to plug that back in to the two angle measurements

Angle A = -2(20) + 50

Angle A = -40 + 50

Angle A = 10

Angle B = 5(20) -20

Angle B = 100 - 20

Angle B = 80

Report an Error

Example Question #3 : Angle Geometry

What angle is complementary to 55?

Possible Answers:

135

125

Correct answer:

Explanation:

The definition of a complementary angle means that two angles must add up to 90 degrees.

To find the angle, simply subtract 55 from 90.

90-55 = 35

The answer is:

Report an Error

Example Question #5 : Complementary Angles

What angle is complementary to 10 degrees?

Possible Answers:

110

190

170

Correct answer:

Explanation:

Complementary angles must add up to ninety.

Subtract the given angle from 90 to find the other angle.

90-10 = 80

The answer is:

Report an Error

Example Question #3 : Complementary Angles

Suppose the angles (3x+2) and (5x-7) are complementary angles. What is the value of ?

Possible Answers:

$\frac{95}{4}$

$\frac{99}{8}$

$\frac{99}{4}$

$\textup{The answer is not given.}$

Correct answer:

$\frac{95}{4}$

Explanation:

Set up the equation such that both angles sum up to 90.

(3x+2)+ (5x-7) = 90

8x -5 = 90

Add 5 on both sides.

8x -5 +5= 90+5

8x=95

Divide both sides by 8.

$\frac{8x}{8}=\frac{95}{8}$

The value of is: $2(\frac{95}{8}) = \frac{95}{4}$

The answer is: $\frac{95}{4}$

Report an Error

Example Question #5 : Complementary Angles

Determine the value of if the angles (x+2) and (x+6) are complementary.

Possible Answers:

Correct answer:

Explanation:

Complementary angles must add up to 90 degrees.

Set up an equation so that the sum of two angles add up to 90.

(x+2)+(x+6) = 90

2x+8 = 90

Subtract 8 on both sides.

2x+8 -8= 90-8

Simplify both sides.

2x = 82

Divide by two on both sides.

$\frac{2x }{2}= \frac{82}{2}$

x=41

The answer is:

Report an Error

Example Question #8 : Angle Geometry

What angle is complementary to $\frac{\pi}{3}$ radians?

Possible Answers:

$\frac{2\pi}{3}$

$\frac{\pi}{4}$

$\frac{\pi}{8}$

$\frac{\pi}{6}$

$\frac{\pi}{12}$

Correct answer:

$\frac{\pi}{6}$

Explanation:

Note that this is in radians. Recall that 2 complementary angles must add up to 90 degrees.

Since $\pi\textup{ radians} = 180 \textup{ degrees}$ ,

$\frac{\pi}{2}\textup{ radians} = 90 \textup{ degrees}$

To find the complementary angle, subtract $\frac{\pi}{3}$ from $\frac{\pi}{2}$ .

$\frac{\pi}{2}-\frac{\pi}{3} = \frac{3\pi}{6} -\frac{2\pi}{6} = \frac{\pi}{6}$

The answer is: $\frac{\pi}{6}$

Report an Error

View Tutors

Gerik
Certified Tutor

California State University-Northridge, Bachelor in Arts, Biology, General. Drexel University College of Medicine, Master of ...

View Tutors

Wura
Certified Tutor

CUNY Bernard M Baruch College, Bachelor in Arts, Business Communications. McDaniel College, Master of Science, Teaching Engli...

View Tutors

Choza
Certified Tutor

st paul university philippines, Bachelor, Science.

All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

GRE Tutors in Chicago, Computer Science Tutors in San Francisco-Bay Area, GMAT Tutors in San Diego, Calculus Tutors in Los Angeles, ACT Tutors in Los Angeles, Math Tutors in Denver, GRE Tutors in Philadelphia, Chemistry Tutors in Seattle, MCAT Tutors in Dallas Fort Worth, Reading Tutors in Los Angeles

Popular Courses & Classes

ACT Courses & Classes in Chicago, GRE Courses & Classes in Washington DC, Spanish Courses & Classes in Atlanta, SAT Courses & Classes in Washington DC, SSAT Courses & Classes in Washington DC, ISEE Courses & Classes in New York City, GRE Courses & Classes in Seattle, MCAT Courses & Classes in San Francisco-Bay Area, MCAT Courses & Classes in Los Angeles, ISEE Courses & Classes in Denver

Popular Test Prep

LSAT Test Prep in Los Angeles, ISEE Test Prep in Phoenix, GRE Test Prep in San Francisco-Bay Area, ISEE Test Prep in New York City, SSAT Test Prep in Boston, ACT Test Prep in Chicago, GRE Test Prep in Houston, ISEE Test Prep in San Diego, MCAT 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

GED Math : Angle Geometry

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #1 : Angle Geometry

Example Question #2 : Angle Geometry

Example Question #2 : Angle Geometry

Example Question #4 : Angle Geometry

Example Question #3 : Angle Geometry

Example Question #3 : Angle Geometry

Example Question #5 : Complementary Angles

Example Question #3 : Complementary Angles

Example Question #5 : Complementary Angles

Example Question #8 : Angle Geometry

All GED Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: