Q:

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.

Accepted Solution

A:
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