In a right-angled triangle, one of the sharp corners is 2 times larger than the other. Calculate the degree measures.

A right-angled triangle is a triangle in which one angle is 90 °. Because the sum of all angles in a triangle is 180 °, respectively, the sum of two acute angles will be equal to:

1) 180 – 90 = 90 (°) – the sum of two acute angles.

It is known that one angle is twice the other, so let one angle be equal to x °, respectively, the other (2x) °. Let’s make the equation:

2) x + 2x = 90;

3x = 90;

x = 90: 3;

x = 30 (°) – one of the acute angles;

3) 30 * 2 = 60 (°) – the second acute angle.