Question

Three angles are complementary. One angle is double the smallest angle. The largest angle is

triple the smallest angle. Find the measures of
the three angles.

Answer 1

Explanation:

A+B+C = 90°

A ≤ B ≤ C

C = 3A

B = 2A

A+B+C = A + 2A + 3A = 6A = 90°

A = 15°

B = 2A = 30°

C = 3A = 45°