Two complementary angles are in the ratio of 4:5. Find the measure of the smaller angle.

Answer 1

4x + 5x = 90 ... because complementary angles summed together equal 90 degrees

9x = 90

x = 10

smaller angle = 4x = 4(10) = 40

and if you wanted to find out the larger angle = 5x 5(10) = 50

and to check that they are complementary, 40 + 50 = 90

Answer 2

4x + 5x =90

Can you solve for x and answer?