Find the sharp corners of a right triangle if one of them is 18 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 18 ° 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 + 18) °.

Let’s solve the equation:

x + x + 18 + 90 = 180;

2x = 180 – 90 – 18;

2x = 72;

x = 36 °.

So, one of the acute angles is 36 °, and the second is 36 + 18 = 54 °