Question

If the measure of angle 1 = 9x +6 and the measure of angle 2 = 2 (5x - 3), find x

Answer 1

See below for answer.

Explanation:

m∠1 = m ∠2 If lines are parallel, then alternating exterior angles are =

Therefore

a ║ b Given in the figure

m∠1 = m ∠2

9x + 6 = 2(5x - 3)

9x + 6 = 10x - 6 Distributive

9x + 12 = 10x Addition

12 = x Subtraction

Answer 2

x=12

Explanation:

<1 and <2 are equal since they are alternate exterior angles for parallel lines

9x+6 = 2(5x-3)

distribute

9x+6 = 10x-6

Subtract 9x from each side

9x+6-9x= 10x-6-9x

6 = x-6

Add 6 from each side

6+6 =x-6+6

12=x