Question

the measure of two complementary angles is in the ratio of 1:5. What are the degree measures of the two angles? Show work please!

Answer 1

Complementary angles are angles that has a sum of 90° degrees when added together.

Ratio is 1:5 ⇒ 1 + 5 = 6
Ratio of angle 1 to its total is 1/6
Ratio of angle 2 to its total is 5/6

Since, we know that complementary angles equal to 90°, we multiply its ratio to the total by 90°

Angle 1: 1/6 * 90° = 90°/6 = 15°
Angle 2: 5/6 * 90° = 5*90°/6 = 450°/6 = 75°

Ratio of angles: 1:5 ⇒ 15° : 75°