Question

1. solve for m∠a and m∠b. m∠a =____ m∠b =____

Explanation:

Step1: Set angles equal (congruent)

$-1 + 14x = 12x + 17$

Step2: Solve for x

$14x - 12x = 17 + 1 \implies 2x = 18 \implies x = 9$

Step3: Calculate m∠a

$-1 + 14(9) = -1 + 126 = 125$

Step4: Calculate m∠b

$12(9) + 17 = 108 + 17 = 125$

Answer:

m∠a = 125
m∠b = 125