The ratio of the angle measures of the acute angles in a right triangle is 1:2. What is the measures of these angles?

Solution:

It is given that

The ratio of the angle measures of the acute angles in a right triangle is 1:2

Consider x as the multiplier

The sum of three angles is 180 degrees.

We can write it as

90 + x + 2x = 180

3x = 180 - 90

3x = 90

Divide both sides by 3

x = 30

The two angles are x and 2x, 30 and 60 degrees.

Therefore, the measures of the angle are 30 degrees and 60 degrees.

The ratio of the angle measures of the acute angles in a right triangle is 1:2. What is the measures of these angles?

Summary:

If ratio of the angle measures of the acute angles in a right triangle is 1:2, then the measures of the angle are 30 degrees and 60 degrees.