The two acute angles of a right triangle are 11: 79. Find the larger angle.

To solve this problem, you must perform a replacement. Let one part be equal to x, therefore, since the angles are 11 to 79, one angle is 11 * x, the second is 79 * x.

Since the triangle is rectangular, therefore, the sum of the two angles is 90 degrees, we will compose the equation:

11 * x + 79 * x = 90.

90 * x = 90.

Divide both sides of the equation by 90.

It turns out: x = 1.

Can now find angle values. The first goal is 11 * 1 = 11, the second 79 * 1 = 79.

Therefore, the larger angle is 79.

Answer: 79 degrees.