# GED Math : Supplementary Angles

## Example Questions

### Example Question #31 : Supplementary Angles

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

### Example Question #32 : Supplementary Angles

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.

### Example Question #33 : Supplementary Angles

If two angles are supplementary and one angle is measured  in degrees, what is the other angle?

Explanation:

Supplementary angles sum up to 180 degrees.  This means the other angle can be determined by subtracting the given angle from 180.

### Example Question #34 : Supplementary Angles

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:

### Example Question #35 : Supplementary Angles

Determine the value of  if both angles,  and , provided are supplementary.

Explanation:

The sum of both angles must add up to 180 since they are supplementary angles.

Set up the equation to solve for the x-variable.

Divide by 18 on both sides.

### Example Question #36 : Supplementary Angles

Find the measure of the smallest angle in the figure below:

Explanation:

Since all three angles lie on a straight angle, they must add up to . We can then write the following equation:

Since the question asks for the measure of the smallest angle, we will need to find the value of .

### Example Question #37 : Supplementary Angles

Which of the following pairs of angles are supplementary?

Explanation:

Which of the following pairs of angles are supplementary?

Supplementary angles are pairs of angles which add up to 180 degrees.

To find the answer, find the pair which adds up to 180

### Example Question #38 : Supplementary Angles

The image is not to scale.

If the three angles are summed, the result is a supplementary angle. Find the measure of the unknown angle.

Explanation:

With the provided image, we are asked to solve for the measure of the unknown angle.

First, we must understand some information before attempting to solve the problem. The problem provides the information that the three angles summed up result in a supplementary angle. This is another way to say that when we add the measures of the three angles, it will equal .

This becomes a problem where we solve for a missing variable now. We will call the unknown angle x. We would set this up in equation format accordingly:

Now, we can solve for x.

Therefore, the unknown angle is .

### Example Question #39 : Supplementary Angles

The image is not to scale.

If the three angles are summed, the result is a supplementary angle. Find the measure of the unknown angle.

Explanation:

With the provided image, we are asked to solve for the measure of the unknown angle.

First, we must understand some information before attempting to solve the problem. The problem provides the information that the three angles summed up result in a supplementary angle. This is another way to say that when we add the measures of the three angles, it will equal .

This becomes a problem where we solve for a missing variable now. We will call the unknown angle x. We would set this up in equation format accordingly:

Now, we can solve for x.

Therefore, the unknown angle is .

### Example Question #40 : Supplementary Angles

Image is not to scale.

If the three angles are summed, the result is a supplementary angle. Find the measure of the unknown angle.

Explanation:

With the provided image, we are asked to solve for the measure of the unknown angle.

First, we must understand some information before attempting to solve the problem. The problem provides the information that the three angles summed up result in a supplementary angle. This is another way to say that when we add the measures of the three angles, it will equal .

This becomes a problem where we solve for a missing variable now. We will call the unknown angle x. We would set this up in equation format accordingly:

Now, we can solve for x.

Therefore, the unknown angle is .