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.

\(\displaystyle 5x+13x = 180\)

\(\displaystyle 18x = 180\)

Divide by 18 on both sides.

\(\displaystyle \frac{18x}{18} =\frac{ 180}{18}\)

The answer is:  \(\displaystyle 10\)

Since all three angles lie on a straight angle, they must add up to \(\displaystyle 180^{\circ}\). We can then write the following equation:

\(\displaystyle 2x+3x+10x=180\)

\(\displaystyle 15x=180\)

\(\displaystyle x=12\)

Since the question asks for the measure of the smallest angle, we will need to find the value of \(\displaystyle 2x\).

\(\displaystyle 2x=2(12)=24\)

Which of the following pairs of angles are supplementary?

\(\displaystyle 101^{\circ}\& 79^{\circ}\)

\(\displaystyle 11^{\circ}\& 179^{\circ}\)

\(\displaystyle 201^{\circ}\& 159^{\circ}\)

\(\displaystyle 103^{\circ}\& 74^{\circ}\)

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

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

\(\displaystyle 101^{\circ}+ 79^{\circ}=180^{\circ}\)

\(\displaystyle 11^{\circ}+ 179^{\circ}=190^{\circ}\)

\(\displaystyle 201^{\circ}+ 159^{\circ}=360^{\circ}\)

\(\displaystyle 103^{\circ}+ 74^{\circ}=177^{\circ}\)

So, our answer must be

\(\displaystyle 101^{\circ}\& 79^{\circ}\)

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 \(\displaystyle 180^{\circ}\).

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:

\(\displaystyle x+28+73=180\)

Now, we can solve for x. 

\(\displaystyle x+101=180\)

\(\displaystyle x+101{\color{Red} -101}=180{\color{Red} -101}\)

\(\displaystyle x=79^{\circ}\)

Therefore, the unknown angle is \(\displaystyle 79^{\circ}\).

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 \(\displaystyle 180^{\circ}\).

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:

\(\displaystyle x+37+53=180\)

Now, we can solve for x. 

\(\displaystyle x+90=180\)

\(\displaystyle x+90{\color{red} -90}=180{\color{Red} -90}\)

\(\displaystyle x=90^{\circ}\)

Therefore, the unknown angle is \(\displaystyle 90^{\circ}\).

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 \(\displaystyle 180^{\circ}\).

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:

\(\displaystyle x+44+81=180\)

Now, we can solve for x. 

\(\displaystyle x+125=180\)

\(\displaystyle x+125{\color{red} -125}=180{\color{Red} -125}\)

\(\displaystyle x=55^{\circ}\)

Therefore, the unknown angle is \(\displaystyle 55^{\circ}\).

Start by solving for \(\displaystyle x\). Since all three angles lie on a straight line, the three angles must add up to \(\displaystyle 180\). We can then write the following equation to solve for \(\displaystyle x\):

\(\displaystyle 6x-10+4x+6+7x+14=180\)

\(\displaystyle 17x+10=180\)

\(\displaystyle 17x=170\)

\(\displaystyle x=10\)

Now, plug in the values of \(\displaystyle x\) to find the angle measurements.

\(\displaystyle 6x-10=6(10)-10=50\)

\(\displaystyle 4x+6=4(10)+6=46\)

\(\displaystyle 7x+14=7(10)+14=84\)

The smallest angle is \(\displaystyle 46\) degrees.

Which of the following angles forms a supplementary angle pair with \(\displaystyle \measuredangle D\)?

Given that \(\displaystyle \measuredangle D= 57^{\circ}\)

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

\(\displaystyle 180^{\circ}-57^{\circ}=123^{\circ}\)

So, our answer is \(\displaystyle 123^{\circ}\)

First we need to know that supplementary angles, when added, equal to \(\displaystyle 180^{\circ}\)

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.

\(\displaystyle 180^{\circ}-82^{\circ}=98^{\circ}\)

Recall that when angles are supplementary, the will add up to \(\displaystyle 180^{\circ}\). Thus, we can write the following equation:

\(\displaystyle 2x+3x+4x+6x=180\)

Solve for \(\displaystyle x\).

\(\displaystyle 15x=180\)

\(\displaystyle x=12\)

Now, the smallest angle in the figure is \(\displaystyle 2x\),

\(\displaystyle 2(12)=24\).

The smallest angle must be \(\displaystyle 24^{\circ}\).