Question

A = 82 – 8°
B = 5x + 25°
Solve for x and then find the measure of B:

Answer 1

x = 11

m∠B = 80°

Explanation:

If two parallel lines are cut by a transversal, the corresponding angles are congruent

m∠A = m∠B

8x - 8 = 5x + 25 ... minus 5x and add 8 both side

8x - 5x = 25 + 8

3x = 33

x = 11

m∠B = 5 x 11 + 25 = 80°

check: m∠A = 8 x 11 -8 = 80