In a right triangle, if one acute angle is 60 degrees and another is 30 degrees, what is the measure of the third angle?

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Multiple Choice

In a right triangle, if one acute angle is 60 degrees and another is 30 degrees, what is the measure of the third angle?

Explanation:
In any triangle, the interior angles add up to 180 degrees, and a right triangle has one angle of 90 degrees. The two acute angles must therefore sum to 90 degrees. Here, the given acute angles are 60 and 30, and 60 + 30 = 90. That leaves the third angle to be 90 degrees, completing the triangle’s angle sum. The other values would not make the total reach 180 when combined with the 90-degree angle.

In any triangle, the interior angles add up to 180 degrees, and a right triangle has one angle of 90 degrees. The two acute angles must therefore sum to 90 degrees. Here, the given acute angles are 60 and 30, and 60 + 30 = 90. That leaves the third angle to be 90 degrees, completing the triangle’s angle sum. The other values would not make the total reach 180 when combined with the 90-degree angle.

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