Find the acute corners of a right triangle if one of them is 5 times larger than the other.

A right-angled triangle is a triangle that has one of its angles 90 °.

Since the sum of all the angles of the triangle is 180º, and one of the angles is five times the other, then:

x is the degree measure of the angle ∠A;

5x – degree measure of angle ∠В;

90º is the degree measure of the angle ∠С;

180º is the sum of all the angles of the triangle;

x + 5x + 90 = 180;

x + 5x = 180 – 90;

6x = 90;

x = 90/6 = 15;

∠А = 15º;

∠В = 15 · 5 = 75º.