Question

The measure of an angle is 15° more than its complement. Find the measure of an angle.

Answer 1

Answer:

complementary angles are angles whose measures sum to 90�

let alpha be an angle, and beta be its complement, then

alpha%2Bbeta=90......1

and if an angle measures 15 degrees more than its complement, we have:

alpha=beta+%2B15.......2...plug it in equation 1

beta+%2B15%2Bbeta=90......1..solve for beta

2beta+=90-15

2beta+=75

beta+=75%2F2

highlight%28beta+=37.5%29

now find alpha

alpha=beta+%2B15.......2

alpha=37.5+%2B15

highlight%28alpha=52.5%29

Answer 2

we know that the measures of complementary angle is 90 degree

so

let the angle be X

according to question

x + 15 =90

x = 75°