Question

Genevieve drew a right triangle such that one of its acute angles is five times the measure of the other acute angle. Find the measure of the smallest angle of the triangle.

Answer 1

• 15°

Explanation:

• Let the smaller angle be x
• Then the other angle is 5x

Sum of acute angles equals to 90°

• x + 5x = 90°
• 6x = 90°
• x = 90°/6
• x = 15°

The smallest angle is 15°