Question

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 1

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

Answer 2

The measure of the two complementary angles have a ratio of 3:7 are 27 and 63 degrees

How to determine the angles?

The ratio is given as:

Ratio = 3 : 7

Rewrite as:

Ratio = 3x : 7x

Add both ratios

Sum = 3x + 7x

Sum = 10x

Complementary angles add up to 90 degrees.

So, we have:

10x = 90

Divide by 10

x = 9

So, we have:

3x = 3 * 9 = 27

7x = 7 * 9 = 63

Hence, the measure of the two complementary angles have a ratio of 3:7 are 27 and 63 degrees

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