Supplementary angles sum up to 180 degrees.

To find the other angle, subtract the given angle from 180 degrees.

\(\displaystyle 180-75= 105\)

The answer is:  \(\displaystyle 105\)

If two angles are supplementary, they must add up to 180 degrees.

Set up an equation such that both angles will add to 180 degrees.

\(\displaystyle x+4x = 180\)

Solve the equation.

\(\displaystyle 5x =180\)

Divide by 5 on both sides.

\(\displaystyle \frac{5x }{5}=\frac{180}{5}\)

\(\displaystyle x=36\)

\(\displaystyle 4x = 4(36) = 144\)

One of the possible angles is either \(\displaystyle 36\) or \(\displaystyle 144\).

The answer is:  \(\displaystyle 144\)

Two angles are supplementary if they add up to \(\displaystyle 180^{\circ}\).

If two angles are supplementary, they add up to \(\displaystyle 180^{\circ}\). So, we can use the formula:

\(\displaystyle x+y = 180^{\circ}\)

Now, we know one angle is \(\displaystyle 112^{\circ}\). So, we can substitute and then solve for the other angle. So, we get

\(\displaystyle 112^{\circ} + y = 180^{\circ}\)

\(\displaystyle 112^{\circ} - 112^{\circ} + y = 180^{\circ} - 112^{\circ}\)

\(\displaystyle 0^{\circ}+y=68^{\circ}\)

\(\displaystyle y = 68^{\circ}\)

Therefore, the other angle is \(\displaystyle 68^{\circ}\).

Supplementary angles must add up to 180 degrees.

Subtract the known angle from 180.

\(\displaystyle 180-45.05 = 134.95\)

The answer is:  \(\displaystyle 134.95\)

Supplementary angles add to to 180 degrees.

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

\(\displaystyle 180-135 =45\)

The answer is:  \(\displaystyle 45\)

Supplementary angles must add up to 180 degrees.

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

\(\displaystyle 180-120 = 60\)

The answer is:  \(\displaystyle 60\)

Notice that the three smaller angles all lie on a straight angle. This means we can write the following equation:

\(\displaystyle 8x+2x+12x=180\)

\(\displaystyle 22x=180\)

\(\displaystyle x=8.18\)

Now, \(\displaystyle \measuredangle BEC\) has a measure of \(\displaystyle 2x\), thus we can write the following:

\(\displaystyle \measuredangle BEC=2(8.18)=16.36^{\circ}\)

Two angles are supplementary if they add up to \(\displaystyle 180^{\circ}\). So, we can use the formula:

\(\displaystyle x+y = 180^{\circ}\)

where x and y are the angles. 

So, given the angles

we can see one angle is \(\displaystyle 40^{\circ}\). So, we can substitute and solve for x. We get

\(\displaystyle x+40^{\circ}=180^{\circ}\)

\(\displaystyle x+40^{\circ}-40^{\circ}=180^{\circ}-40^{\circ}\)

\(\displaystyle x+0^{\circ}=140^{\circ}\)

\(\displaystyle x=140^{\circ}\)

The two angles must sum up to 180 degrees.

\(\displaystyle 3x-5 + 2x-5 =180\)

\(\displaystyle 5x-10 = 180\)

Add 10 on both sides.

\(\displaystyle 5x-10+10 = 180+10\)

\(\displaystyle 5x =190\)

Divide by 5 on both sides.

\(\displaystyle \frac{5x }{5}=\frac{190}{5}\)

The answer is:  \(\displaystyle 38\)