The measure of two complementary angles have a ratio of 3:7. Set up and solve an equation to determine the measurements of the two angles.

Answer: Angle 1 = 27

Angle 1 = 63

Remember: complementary angles always add up to 90 degrees.

Set up your equation.

3x + 7x = 90 Combine like terms

10x = 90 Divide by 10 to both sides

x = 9 Answer!

Substitute in (9) for x to find the measurements of the two angles.

Angle 1: 3x

3 (9)

27

Angle 2: 7x

7 (9)

63

You can also check your work.

27 + 63 = 90