In a right triangle, if one angle measures 30 degrees, what is the measure of the other acute angle?

In a right triangle, if one angle measures 30 degrees, what is the measure of the other acute angle?

• A. 30 degrees
• B. 60 degrees
• C. 90 degrees
• D. 120 degrees

Answer: (B)

In a right triangle, the sum of the angles always equals 180 degrees. Since one angle is a right angle, which measures 90 degrees, the remaining two angles must add up to 90 degrees. Given that one of those angles is 30 degrees, we can find the measure of the other acute angle by subtracting 30 degrees from 90 degrees. This results in: 90 degrees - 30 degrees = 60 degrees. Thus, the measure of the other acute angle is 60 degrees. This is why the correct answer is appropriate, as it accurately reflects the requirement that the angles in a triangle must sum to 180 degrees, while also adhering to the specific conditions of a right triangle.

In a right triangle, the sum of the angles always equals 180 degrees. Since one angle is a right angle, which measures 90 degrees, the remaining two angles must add up to 90 degrees.

Given that one of those angles is 30 degrees, we can find the measure of the other acute angle by subtracting 30 degrees from 90 degrees. This results in:

90 degrees - 30 degrees = 60 degrees.

Thus, the measure of the other acute angle is 60 degrees. This is why the correct answer is appropriate, as it accurately reflects the requirement that the angles in a triangle must sum to 180 degrees, while also adhering to the specific conditions of a right triangle.