ina right triangle, the acute angle measures x+15 and 2x degrees. what is the measure of the larger acute angle of the triangle?

Question

in a right triangle, the acute angles measure x+15 and 2x degrees. what is the measure of the larger acute angles in the triangle?

Answer 1

In a right triangle, one angle is 90º.

The two acute angles sum to 90º.

x+15+2x=90

3x+15=90

3x=90-15

3x=75

x=75/3

x=25

x+15=25+15=40º

2x=2*25=50º