Question

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


15

25

40

50

Answer 1

The angles in a triangle sum to 180 degrees. So as the right angle is 90, the other two must total 180 - 90 = 90.

So, x+15 + 2x = 90
Therefore 3x = 90 - 15 = 75
and so x=25.

So the smaller angles are x+15 = 40 degrees and 2x=50 degrees.
So the larger one is 50 degrees.