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.

The answer is:  

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 .

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

So, our answer must be

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 .

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 .

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 .

Start by solving for . Since all three angles lie on a straight line, the three angles must add up to . We can then write the following equation to solve for :

Now, plug in the values of  to find the angle measurements.

The smallest angle is  degrees.

Which of the following angles forms a supplementary angle pair with ?

Given that 

Supplementary angles sum up to 180 degrees. Therefore, to find our answer, we simply need to do the following:

So, our answer is 

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.

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 .