Question

What is the value of x? sin(x + 16)° = cos(2x + 14)º Enter your answer in the box.

Answer 1

Answer:

x=20

Step-by-step explanation:

we know that

If two angles are complementary, the cofunction identities state that the sine of one equals the cosine of the other and vice versa

In this problem

(x+16)° and (2x+14)° are complementary

That means----> the sum is equal to 90 degrees

so

$(x+16)^o+(2x+14)^o=90^o$

solve for x

$3x+30=90\\3x=90-30\\3x=60\\x=20$