One acute angle of a right triangle is twice the size of the other, find the smaller acute angle.

A right-angled triangle is a triangle with one of the angles of a straight line (equal to 90 degrees), and the other two are sharp. The theorem on the sum of the angles of a triangle says that the sum of all the interior angles of any triangle is 180 degrees, then in a right triangle the sum of acute angles is 90 degrees (180 degrees – 90 degrees = 90 degrees).
Let x be the coefficient of proportionality, then the angle 2 = x, and the angle 1 = 2x (since one acute angle is 2 times larger than the other acute angle) .Thus:
x + 2x = 90;
3x = 90;
x = 90/3;
x = 30.
Angle 2 = x = 30 degrees, angle 1 = 2x = 2 * 30 = 60 degrees.
Answer: angle 2 = 30 degrees.