Question

I’m trying to find the measures for a and b.

Answer 1

• a = 28°
• b = 62°

Explanation:

You want the measures of the unknown angles in a figure involving parallel lines and a right angle.

Parallel lines

Where a transversal crosses parallel lines, consecutive interior angles are supplementary. That means ...

b + 118° = 180°

b = 62° . . . . . . . . . subtract 118° from both sides

Linear angle

A linear angle measures 180°. That means the sum of a, 90°, and b will be 180°:

a + 90° +62° = 180°

a = 28° . . . . . . . . . . . . subtract 152° from both sides