Question

If 2θ + 45° and 30° - θ are acute angles, find the degree measure of θ satisfying

Answer 1

⇒ sin(2θ + 45°) = cos(30°- θ)

⇒ sin(2θ + 45°) = sin{90°-(30° - θ)

⇒ 2θ + 45° = 90°- 30° + θ

⇒ θ = 15°