Answer:
x = 30
Step-by-step explanation:
Using the cofunction identity
cos x° = sin(90 - x)°
Given
cos(x + 30)° = sin x°, then
x + 30 = 90 - x ( add x to both sides )
2x + 30 = 90 ( subtract 30 from both sides )
2x = 60 ( divide both sides by 2 )
x = 30
