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

Question

A) 30 and 60

B) 45 and 90

C) 60 and 120

D) 10 and 20

Answer 1

If the ratio of the measures of the acute angles in a right triangle is 1:2, we can let the first angle be x and the second angle be 2x.

Since the sum of all angles in a triangle is 180 degrees, we can write the equation:

x + 2x + 90 = 180

Combining like terms, we have:

3x + 90 = 180

Subtracting 90 from both sides:

3x = 90

Dividing both sides by 3:

x = 30

Therefore, the first angle is 30 degrees and the second angle is 2 * 30 = 60 degrees.

The measures of the acute angles in the right triangle are 30 and 60 degrees.

The answer is A) 30 and 60.