Angles α and β are the two acute angles in a right triangle. use the relationship between sine and cosine to find the value of β if β < α.sin(3x - 27) = cos(5x + 5)
a. 14
b. 15
c. 75
d. 76

Step-by-step explanation:

As given as ∠α and ∠β are the two acute angles in a right triangle.

So,

Also given as,

Then between (3x-27) and (5x+5), one is α and the other one is β.

And the sum of both the angles are 90°. So,

Then the measurement of the two angles are,

As β < α, so β=15°