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GED Math : Complementary Angles

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Example Questions

Example Question #51 : Complementary Angles

Find the the measure of angle B if it is complement of angle A:

$m\angle A=18^{o}$

Possible Answers:

$m\angle B=82^{o}$

$m\angle B=36^{o}$

$m\angle B=136^{o}$

$m\angle B=72^{o}$

Correct answer:

$m\angle B=72^{o}$

Explanation:

If two angles are complementary, that means the sum of their degrees of measure will add up to 90. In order to find the measure of angle B, subtract angle A from 90 like shown:

$m\angle B=90^{o}-18^{o}=72^{o}$

This gives us a final answer of 72 degrees for angle B.

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Example Question #52 : Complementary Angles

Find the the measure of angle B if it is complement of angle A:

$m\angle A=87^{o}$

Possible Answers:

$m\angle B=3^{o}$

$m\angle B=72^{o}$

$m\angle B=112^{o}$

$m\angle B=13^{o}$

Correct answer:

$m\angle B=3^{o}$

Explanation:

If two angles are complementary, that means the sum of their degrees of measure will add up to 90. In order to find the measure of angle B, subtract angle A from 90 like shown:

$m\angle B=90^{o}-87^{o}=3^{o}$

This gives us a final answer of 3 degrees for angle B.

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Example Question #53 : Complementary Angles

Find the the measure of angle B if it is complement of angle A:

$m\angle A=39^{o}$

Possible Answers:

$m\angle B=123^{o}$

$m\angle B=3^{o}$

$m\angle B=11^{o}$

$m\angle B=51^{o}$

Correct answer:

$m\angle B=51^{o}$

Explanation:

If two angles are complementary, that means the sum of their degrees of measure will add up to 90. In order to find the measure of angle B, subtract angle A from 90 like shown:

$m\angle B=90^{o}-39^{o}=51^{o}$

This gives us a final answer of 51 degrees for angle B.

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Example Question #54 : Complementary Angles

Find the the measure of angle B if it is complement of angle A:

$m\angle A=53^{o}$

Possible Answers:

$m\angle B=37^{o}$

$m\angle B=116^{o}$

$m\angle B=27^{o}$

$m\angle B=11^{o}$

Correct answer:

$m\angle B=37^{o}$

Explanation:

If two angles are complementary, that means the sum of their degrees of measure will add up to 90. In order to find the measure of angle B, subtract angle A from 90 like shown:

$m\angle B=90^{o}-53^{o}=37^{o}$

This gives us a final answer of 37 degrees for angle B.

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Example Question #55 : Complementary Angles

Find the the measure of angle B if it is complement of angle A:

$m\angle A=9^{o}$

Possible Answers:

$m\angle B=12^{o}$

$m\angle B=85^{o}$

$m\angle B=116^{o}$

$m\angle B=81^{o}$

Correct answer:

$m\angle B=81^{o}$

Explanation:

If two angles are complementary, that means the sum of their degrees of measure will add up to 90. In order to find the measure of angle B, subtract angle A from 90 like shown:

$m\angle B=90^{o}-9^{o}=81^{o}$

This gives us a final answer of 81 degrees for angle B.

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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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GED Math : Complementary Angles

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #51 : Complementary Angles

Example Question #52 : Complementary Angles

Example Question #53 : Complementary Angles

Example Question #54 : Complementary Angles

Example Question #55 : Complementary Angles

Example Question #56 : Angle Geometry

All GED Math Resources

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