The ratio of the measure of the acute angle in a right triangle is 1/2. Find the measures of the two angles

The triangle is right angled so, one of the angles must be 90°

Now the ratio between the two acute angles is 1:2

Let one angle be x and other be 2x

Sum of all angles of a triangle = 180°

90 ° + x°+2x° = 180°

90° + 3x° = 180°

3x° = 180° - 90°

3x° = 90°

x° = 30°

So, the first acute angle = x = 30°

And the second one = 2x = 2 (30°) = 60°