In a right triangle, the acute angles have the relationship sin (2x+14) = cos (46). What is the value of x?

The value of x is 15°

Step-by-step explanation:

we know that

If in a right triangle (A and B are the acute angles)

sin (A) = cos (B)

then

angle A and angle B are complementary angles

so

A+B=90°

therefore

In this problem

sin (2x+14) °=cos (46°)

(2x+14) °+46°=90°

Solve for x

2x+60°=90°

2x=30°

x=15°