One of the acute corners of a right-angled triangle is 4/5 of the second. Find their degree measures.

To solve the problem, we will compose and solve the equation. But first of all, let’s analyze the condition of the problem.

It says that one of the acute angles of a right-angled triangle is 4/5 of the second.

That is, the triangle is rectangular, so one of its angles is 90 °. The second is denoted by x °, and the third by 4 / 5x °.

The angles of a triangle add up to 180 °.

We get the equation:

90 + x + 4 / 5x = 180;

x + 4 / 5x = 180 – 90;

1.8x = 90;

x = 90: 1.8;

x = 50 ° second angle and 50 ° * 0.8 = 40 °.

Answer: 50 ° and 40 ° are the degree measures of the two angles of the triangle.