76.3k views
0 votes
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!

User Loghman
by
8.4k points

1 Answer

6 votes
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°
User Alexandre Mazel
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories