Question

The ratio of two complementary angles is 7:2. What is the measure, in degrees, of the larger angle?

Answer 1

70 degrees

Explanation:

Complementary angles sum up to 90.

To find the larger angle, you find the total of the values in the ratio, divide the larger value of the ratio by the total and multiply it by 90.

(7/7+2)×90=7/9×90

=7×10

=70

OR

Write an equation:

7x+2x=90

9x=90

x=10

Then multiply x by the larger value.

7x=7 (10)=70