Question

are corresponding angles supplementary

Answer 1

No, corresponding angles don't have to add up to anything, but supplementary add up to 180 degrees.

Answer 2

However, if the angles are supplementary, the sum of their measures is 180°

since supplementary angles can form a linear pair and their measures sum to 180°

so

......x+x=180° which means that 2x=180°

divide both sides by 2

so

x=90° and that means all these angles are right angles.