Question

use any theorems, postulates, or properties to complete the angles and to find the measure of angle b.
7)
8)

Explanation:

Step1: Identify angle - relationship in 7

The 36 - degree angle and angle b are vertical angles. Vertical angles are congruent.

Step2: Determine measure of angle b in 7

Since vertical angles are equal, $b = 36^{\circ}$.

Step3: Identify angle - relationship in 8

The 55 - degree angle and angle b are corresponding angles for parallel lines cut by a transversal. Corresponding angles are congruent.

Step4: Determine measure of angle b in 8

Since corresponding angles are equal, $b = 55^{\circ}$.

Answer:

For 7: $36^{\circ}$
For 8: $55^{\circ}$