Question

If (40°+ x) is an acute angle and cos (40°+ x) = sin 30°, find the value of x .

Answer 1

Answer:

40°

Explanation:

Hope it will be help you

Answer 2

x = 20°

Explanation:

Given: X is an acute angle. cos (40° + x) = sin 30°

sin 30° = sin (90° - 60°) = Cos 60°

So,  cos (40° + x) = sin 30° becomes

cos (40° + x) = sin (90° - 60°)

cos (40° + x) = cos 60°

Therefore we get: 40° + x = 60°

x = 60° - 40° = 20°

Angle x = 20° and it is an acute angle. Hence solved.