What is the measure of each angle in the diagram

37° and 143°

Step-by-step explanation:

Hi there!

These labeled angles are corresponding angles, meaning they have a sum of 180 degrees (we can tell because the line segments they join make a "C" shape).

Knowing this, we can construct the following equation to solve for x:

Open up the parentheses

Combine like terms

Subtract 44 from both sides to isolate -17x

Divide both sides by -17

Therefore, x is equal to -8. Now, use this to find the measure of each angle:

(Alternatively, we can solve for one angle and then subtract it from 180 to solve for the other angle.)

I hope this helps!