Supplementary Angles

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GED Math › Supplementary Angles

Questions 1 - 10
1

Find the measure of angle B if it is the supplement to angle A:

Explanation

If two angles are supplementary, that means the sum of their degrees of measure will add up to 180. In order to find the measure of angle B, subtract angle A from 180 like shown:

This gives us a final answer of 65 degrees for angle B.

2

What is the measure of an angle supplementary to an angle?

No solution

Explanation

First we need to know that supplementary angles, when added, equal to

So when we have the degree measurement of one angle, all we need to do is subtract it from the total (which is 180) and that will give us the measurement of our supplementary angle.

3

Two angles are supplementary. If one angle is , find the value of the other angle.

Explanation

Two angles are supplementary if they add up to . We can use the formula:

where x and y are the angles.

Now, we know one angle is . So, we can substitute and solve for the other angle. We get

4

Find the measure of angle B if it is the supplement to angle A:

Explanation

If two angles are supplementary, that means the sum of their degrees of measure will add up to 180. In order to find the measure of angle B, subtract angle A from 180 like shown:

This gives us a final answer of 83 degrees for angle B.

5

If an angle is 168 degrees, and both angles are supplementary, what must be the other angle?

Explanation

Supplementary angles will add up to 180 degrees.

To find the missing angle, we will need to subtract the known angle from 180 degrees.

The answer is:

6

If two angles are supplementary, where one given angle measurement is degrees, and the other angle is degrees,what must be the value of ?

Explanation

Set up an equation such that both angles will add up to 180 degrees, since these are supplementary angles.

Combine like-terms.

Subtract fifty from both sides.

Divide by 100 on both sides.

The answer is:

7

If two angles are supplementary to each other, what is the other angle if one angle is 135 degrees?

Explanation

Supplementary angles add to to 180 degrees.

To find the other angle, subtract the known angle from 180.

The answer is:

8

If a set of angles are supplementary, and both angles are and , what must be the value of ?

Explanation

The sum of a set of supplementary angles must add up to 180 degrees.

Divide by two on both sides to determine what is.

The value is:

9

In degrees, find the measure of the smallest angle in the figure below.

2

Explanation

2

Recall that when angles are supplementary, the will add up to . Thus, we can write the following equation:

Solve for .

Now, the smallest angle in the figure is ,

.

The smallest angle must be .

10

Find the measure of angle B if it is the supplement to angle A:

Explanation

If two angles are supplementary, that means the sum of their degrees of measure will add up to 180. In order to find the measure of angle B, subtract angle A from 180 like shown:

This gives us a final answer of 172 degrees for angle B.

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