Answer:
x = 9, ∠ 1 = ∠ 2 = 66°
Explanation:
If r and s are parallel then
∠ 1 = ∠ 2 ( corresponding angles ) , then
84 - 2x = 93 - 3x ( add 3x to both sides )
84 + x = 93 ( subtract 84 from both sides )
x = 9
Then
∠ 1 = 84 - 2x = 84 - 2(9) = 84 - 18 = 66°
∠ 2 = 93 - 3x = 93 - 3(9) = 93 - 27 = 66°