Two angles are complementary, and their degree measures are in the ratio 2 : 3. What is the degree measure of the larger angle?
Answer and explanation
Correct answer: B. 54 degrees
- Step 1: Complementary angles sum to 90 degrees. Sum of ratio parts = 2 + 3 = 5. Step 2. Larger angle = (3 / 5) 90 degrees = 3 18 = 54 degrees. Answer: 54 degrees. Why not the others: 36 degrees is the smaller angle (2/5 * 90); 60 degrees is from a 1:2 ratio; 45 degrees assumes equal angles.
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