Question

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

Answer 1

Step-by-step explanation:

Given : (2θ + 45°) & (30° + θ) and  sin(2θ + 45°) = cos(30° + θ )

sin(2θ + 45°) = cos(30° + θ )

sin(2θ + 45°) = sin(90° −(30°−θ))

[sin(90° −θ ) = cos θ]

sin(2θ + 45°) = sin(90° − 30° + θ)

On equating both sides,

(2θ + 45°) = (60° + θ )

2θ - θ  = 60° - 45°

θ = 15°  

Answer 2

Answer:

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