Question

Find the values of a and b.

Answer 1

a = 144

b = 67

Explanation:

Where a transversal meets parallel lines, consecutive interior angles are supplementary.

Angles

a° +36° = 180° . . . . . . consecutive angles are supplementary

a = 144 . . . . . . . . . . divide by ° and subtract 36

b° +113° = 180° . . . . . . consecutive angles are supplementary

b = 67 . . . . . . . . . . divide by ° and subtract 113