Question

What is the value of x?
sin(x + 16)° = cos(2x + 14)º
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Answer 1

x=20

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`