Question

The measure of two complementary angles have a ratio of 3:2. What is the measure of the larger angle?

Answer 1

54 degrees

Explanation:

Complementary angles add to 90 degrees

3:2

Multiply each by x

3x:2x

Add the angles together and set equal to 90

3x+2x = 90

Combine like terms

5x= 90

Divide each side by 5

5x/5 = 90/x

x =18

The angles are 3x = 3(18) =54

and 2x = 2(18) = 36