Question

In a right triangle, the acute angles measure ×+15 and 2× degrees. What is the measure of the larger acute angle of the triangle

Answer 1

Sum of angles in a triangle is 180°

90 + (x + 15) + (2x) = 180

90 + x + 15 + 2x = 180

105 + 3x = 180

3x = 180 - 105

3x = 75

x = 75 ÷ 3

x = 25

Smaller angle = x + 15 = 25 + 15 = 40°

Larger angle = 2x = 2(25) = 50°

Answer: 50°