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GED Math : Angle Geometry

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Example Questions

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Example Question #1 : Supplementary Angles

If a set of angles are supplementary, what is the other angle if one angle is 101 degrees?

Possible Answers:

Correct answer:

Explanation:

Two angles that are supplementary must add up to 180 degrees.

To find the other angle, subtract 101 from 180.

180-101=79

The answer is:

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Example Question #1 : Supplementary Angles

What angle is supplementary to 54 degrees?

Possible Answers:

126

116

136

Correct answer:

126

Explanation:

Supplementary angles must add up to 180 degrees.

To find the other angle, we will need to subtract 54 from 180.

180-54 = 126

The answer is: 126

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Example Question #7 : Supplementary Angles

If and are supplementary angles, what must be a possible angle?

Possible Answers:

144

120

160

Correct answer:

144

Explanation:

The sum of the two angles supplement to each other will add up to 180 degrees.

Set up the equation.

2x+8x = 180

Solve for .

10x = 180

Divide by 10 on both sides.

$\frac{10x }{10}= \frac{180}{10}$

x=18

Substitute x=18 for and , and we have 36 and 144, which add up to 180.

The answer is: 144

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Example Question #8 : Supplementary Angles

If the angles x+1 and 2x-1 are supplementary, what is the value of ?

Possible Answers:

180

Correct answer:

180

Explanation:

Supplementary angles sum to 180 degrees.

Set up an equation to solve for .

x+1+2x-1 = 180

3x = 180

x=60

Substitute this value to .

3(60) = 180

The answer is: 180

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Example Question #9 : Supplementary Angles

Suppose there are two angles. If a given angle is 2x-6 , and both angles are supplementary, what must be the other angle?

Possible Answers:

2x-186

174-2x

186-2x

Correct answer:

186-2x

Explanation:

Supplementary angles add up to 180 degrees.

This means we will need to subtract the known angle quantity from 180.

180-(2x-6)

Distribute the negative.

180-2x+6 = 186-2x

The answer is: 186-2x

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Example Question #10 : Supplementary Angles

If an angle given is $\frac{2}{3}\pi$ radians, what is the other angle if both angles are supplementary?

Possible Answers:

$\frac{1}{3}\pi$

$\frac{4}{3}\pi$

$\frac{5}{3}\pi$

$2\pi$

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

Correct answer:

$\frac{1}{3}\pi$

Explanation:

Note that supplementary angles sum up to 180 degrees or equal to $\pi$ radians.

Subtract the known angle from pi.

$\pi-\frac{2}{3}\pi = \frac{1}{3}\pi$

The answer is: $\frac{1}{3}\pi$

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Example Question #11 : Supplementary Angles

Which angle must be supplementary to the angle 35.6 ?

Possible Answers:

215.6

144.4

54.4

125.6

53.6

Correct answer:

144.4

Explanation:

Supplementary angles add up to 180 degrees.

Subtract 35.6 from 180 degrees. Do not add this value with 180!

180-35.6 = 144.4

The answer is: 144.4

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Example Question #61 : Angle Geometry

Comp1

The angles above are supplementary.

What is the angle measure of the smaller angle above?

Possible Answers:

$40^\circ$

$100^\circ$

$80^\circ$

$60^\circ$

$120^\circ$

Correct answer:

$80^\circ$

Explanation:

Since the two angles are supplementary, you know that they must add up to 180 degrees. Therefore, you can take their values and create the following simple equation:

x+60+2x=180

Next, solve for :

3x+60=180

3x=120

x=40

Now, be careful! Substitute back in to find your angle measures:

40+60=100

2*40=80

Your smaller measure is degrees.

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Example Question #61 : Angle Geometry

Comp2

The angles above are supplementary.

What is the smaller of the two angle measures?

Possible Answers:

$130^\circ$

$30^\circ$

$140^\circ$

$50^\circ$

$2^\circ$

Correct answer:

$50^\circ$

Explanation:

Since the two angles are supplementary, you know that they must add up to 180 degrees. Therefore, you can take their values and create the following simple equation:

45x+40+15x+20=180

Simplify to find :

60x+60=180

60x=120

x=2

Then, put back in to find the smaller measure:

45*2+40=90+40=130

15*2+20=30+20=50

Thus, the smaller angle is degrees.

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Example Question #62 : Angle Geometry

Comp3

The angles above are supplementary.

What is the sum of the two smaller angles in those above?

Possible Answers:

$180^\circ$

$100^\circ$

$50^\circ$

$80^\circ$

$30^\circ$

Correct answer:

$80^\circ$

Explanation:

To begin, note that the angles are supplementary. This means that they must add up to 180 degrees. Based on your data, this means:

30+2x+x=180

Simplifying, you get:

30+3x=180

3x=150

x=50

Since is degrees, you know that your three angles are:

30,50,100

Therefore, the sum of your two smallest angles is 30+50=80 degrees.

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GED Math : Angle Geometry

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #1 : Supplementary Angles

Example Question #1 : Supplementary Angles

Example Question #7 : Supplementary Angles

Example Question #8 : Supplementary Angles

Example Question #9 : Supplementary Angles

Example Question #10 : Supplementary Angles

Example Question #11 : Supplementary Angles

Example Question #61 : Angle Geometry

Example Question #61 : Angle Geometry

Example Question #62 : Angle Geometry

All GED Math Resources

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