Find the sharp corners of a right triangle if one of them is 15 degrees larger than the other.

We are given a right-angled triangle, and we also know that one of the corners of the triangle is 15 ° larger than the other.

In order to find the acute angles of a triangle, let us first recall the theorem on the sum of the angles of a triangle. It says that the sum of the angles of the triangle is 180 °.

Let’s designate one of the acute angles of the triangle using the variable x °, then the second can be written as (x + 15) °.

Let’s solve the equation:

x + x + 15 + 90 = 180;

2x = 180 – 90 – 15;

2x = 75;

x = 37.5 °.

So, one of the acute angles is 37.5 °, and the second is 37.5 + 15 = 52.5 °.