Question

The measure of A is 10° greater than the measure of B. The two angles are complementary. Find the measure of each angle.

The m A is ° and m B is °.

Answer 1

m < A = 50 degrees, m < B = 40 degrees.

Explanation:

Complementary angles sum to 90 degrees, so:

A + B = 90

As A = B + 10:

B + 10 + B = 90

2B = 80

B = 40.

So A = 40 + 10 = 50.

Answer 2

since its complementary, the sum if both angles equals 90 degrees.

you do x+x+10 so you combine like terms to get 2x+10=90

then you subtract 10 to get

2x=80

and divide by 2

x=40

angle a=50 degrees

angle b=40 degrees