9514 1404 393
Answer:
m∠1 = 35°
Explanation:
For simplicity, let the measure of angle 1 be represented by α. Then the measure of angle 2 is 2 times that, or 2α. Those two angles together total the measure of angle WXZ, which is 105°.
α +2α = 105°
3α = 105° . . . . . . . . . . collect terms
α = 105°/3 = 35° . . . . divide by the coefficient of α
The measure of angle 1 is 35°.
_____
The measure of angle 2 is 70°.