Question

Find the measure of each numbered angle.

m∠1= __ ° , m∠2= __°

Answer 1

∠ 1 = 30° , ∠ 2 = 60°

Explanation:

the sum of the 3 angles in a triangle = 180°

consider Δ RTW

∠ 1 + 60° + 90° = 180°

∠ 1 + 150° = 180° ( subtract 150° from both sides )

∠ 1 = 30°

consider Δ RSW

∠ 2 + 30° + 90° = 180°

∠ 2 + 120° = 180° ( subtract 120° from both sides )

∠ 2 = 60°