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The ratio of the measures of complementary angles is 6:3. Find the measures of both angles

Sagot :

Answer:

60° and 30°

Step-by-step explanation:

Complementary angles sum to 90°

sum the parts of the ratio, 6 + 3 = 9 parts

Divide 90° by 9 to find the value of one part of the ratio.

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

6 parts = 6 × 10° = 60°

3 parts = 3 × 10° = 30°

The measure of the angles is 60° and 30°

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