Question

The ratio of two complementary angles is 5:4. Find the measure of both angles.

Answer 1

Answer:

50 degrees and 40 degrees

Step-by-step explanation:

50 degrees and 40 degrees

complimentary = add up to 90 degrees

5:4:9

50:40:90

Answer 2

Answer:

50° and 40°

Step-by-step explanation:

Complementary angles sum to 90°

sum the parts of the ratio, 5 + 5 = 9 parts

divide 90 by 9 for the value of one part of the ratio

90° ÷ 9 = 10° ← value of 1 part of the ratio, thus

5 parts = 5 × 10° = 50°

4 parts = 4 × 10° = 40°

The 2 angles are 50° and 40°