Krishna
0

Step 1: Understand the question properly

NOTE:  \sin\left(3x+10\degree\right)=\cos\left(x\ +24\degree\right)

Step 2: Determine the unknown value. (Recall the complimentary angle theorem)

THEOREM: If sin A = cos B, \angle A \text{ and } \angle B  are the acute angles of

a  right triangle,

3x + 10\degree + x + 24 \degree = 90 \degree

4x + 34\degree = 90\degree

4x = 90\degree - 34\degree

x = \frac{56}{4}

x = 14