In a right-angled triangle, acute angles are 2: 1. What are their degree measures equal to?

Let’s designate the degree measure of one of the acute angles as x, and the second as 2 * x. The third angle in a right triangle is 90⁰. And the sum of all the angles of a right-angled triangle is 180⁰.

Based on the above, we compose an equation and find its root:

x + 2 * x + 90 = 180,

3 * x = 180 – 90,

3 * x = 90,

x = 90/3,

x = 30.

Next, we find the degree measure of the second acute angle:

2 * x = 2 * 30 = 60.

Answer: The degree measures of the acute angles of a given right-angled triangle are 30⁰ and 60⁰.