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GED Math : GED Math

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Example Questions

Example Question #56 : Angle Geometry

If an angle measures 23.5 degrees, find the measurement of the other angle such that the two angles are complementary.

Possible Answers:

66.5

65.5

75.5

67.5

Correct answer:

66.5

Explanation:

Two angles are classified as complementary if an only if the sum of the angles equals to exactly 90 degrees.

Since we know the measurement of one angle, and we know the rule about complementary angles, let's find the other angle:

The other angle is simply the total sum of both angles minus the given angle.
The total sum of the angles is , and the given angle is 23.5 .

So, we will subtract 23.5 from .

Other angle= 90-23.5=66.5

The other angle has a measurement of 66.5 degrees.

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Example Question #1 : Supplementary Angles

Thingy

Refer to the above diagram.

$\overleftrightarrow{AE} ||\overleftrightarrow{BD}$ ; $m \angle BCE = 136^{\circ }$ . Evaluate $m \angle CED$ .

Possible Answers:

$44 ^{\circ }$

$56 ^{\circ }$

$46 ^{\circ }$

$54 ^{\circ }$

Correct answer:

$46 ^{\circ }$

Explanation:

$\angle BCE$ and $\angle ECD$ form a linear pair, so they are supplementary - that is, their degree measures total $180^{\circ }$ , so

$m \angle BCE + m\angle ECD =180^{\circ }$

$136^{\circ } + m\angle ECD =180^{\circ }$

$m\angle ECD =180^{\circ } - 136 ^{\circ } = 44^{\circ }$

$m \angle CED$ and $\angle ECD$ are acute angles of right triangle $\Delta ECD$ , so they are complementary - that is, their degree measures total $90^{\circ }$ , so

$m \angle CED + m\angle ECD =90^{\circ }$

$m \angle CED + 44 ^{\circ } =90^{\circ }$

$m \angle CED =90^{\circ } - 44 ^{\circ } = 46 ^{\circ }$

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Example Question #487 : 2 Dimensional Geometry

Angles A, B, and C are supplementary. The measure of angle A is 5x + 15 . The measure of angle B is 2x + 25 . The measure for angle C is 2x + 14 . Find the value of .

Possible Answers:

x = 24

x = 16

x = -2

x = 10

x= 14

Correct answer:

x= 14

Explanation:

Since angles A, B, and C are supplementary, their measures add up to equal 180 degrees. Therefore we can set up the equation as such:

A + B + C =180

-or-

5x + 15 + 2x + 25 + 2x + 15 = 180

Combine like terms and solve for :

9x + 54 = 180

9x = 126

x = 14

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Example Question #488 : 2 Dimensional Geometry

Angles A and B are supplementary. The measure of angle A is 17x + 20 . The measure of Angle B is -2x + 10 . Find the value of .

Possible Answers:

x = -10

No solution

x = 10

x = 5

x = 15

Correct answer:

x = 10

Explanation:

Since angles A and B are supplementary, thier measurements add up to equal 180 degrees. Therefore we can set up our equation like such:

A + B = 180

-or-

17x + 20 + -2x + 10 = 180

Combine like terms and solve for :

15x + 30 = 180

15x = 150

x = 10

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Example Question #489 : 2 Dimensional Geometry

Angles A, B, and C are supplementary. The measure of angle A is 10x + 4 . The measure of angle B is 5x - 6 . The measure for angle C = 3x + 2 . What are the measure for the three angles?

Possible Answers:

$Angle A = 44^{\circ}$

$Angle B = 32^{\circ}$

$Angle C = 104^{\circ}$

$Angle A = 120^{\circ}$

$Angle B = 40^{\circ}$

$Angle C = 20^{\circ}$

No solution

$Angle A = 104^{\circ}$

$Angle B = 44^{\circ}$

$Angle C = 32^{\circ}$

$Angle A = 114^{\circ}$

$Anbgle B = 32^{\circ}$

$Angle C = 36^{\circ}$

Correct answer:

$Angle A = 104^{\circ}$

$Angle B = 44^{\circ}$

$Angle C = 32^{\circ}$

Explanation:

Since angles A, B, and C are supplementary, their measures add up to equal 180 degrees. Therefore we can set up an equation as such:

A + B + C = 180

-or-

10x + 4 + 5x - 6 + 3x + 2 = 180

Combine like terms and solve for x:

18x = 180

x = 10

Plug back into the three angle measurements:

Angle A = 10(10) + 4

Angle A = 100 + 4 4

Angle A = 104

Angle B = 5(10) - 6

Angle B = 50 -6

Angle B = 46

Angle C = 3(10) + 2

Angle C = 30 + 2

Angle C = 32

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Example Question #1451 : Ged Math

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 #2 : Supplementary Angles

What angle is supplementary to 54 degrees?

Possible Answers:

136

126

116

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 #1 : Supplementary Angles

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

Possible Answers:

160

144

120

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 #2 : 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 #3 : 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:

186-2x

2x-186

174-2x

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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GED Math : GED Math

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #56 : Angle Geometry

Example Question #1 : Supplementary Angles

Example Question #487 : 2 Dimensional Geometry

Example Question #488 : 2 Dimensional Geometry

Example Question #489 : 2 Dimensional Geometry

Example Question #1451 : Ged Math

Example Question #2 : Supplementary Angles

Example Question #1 : Supplementary Angles

Example Question #2 : Supplementary Angles

Example Question #3 : Supplementary Angles

All GED Math Resources

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