The sum of the interior angles of a triangle is 180 degrees. If one angle is 30 degrees and another is 60 degrees, what is the third angle?

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Prepare for the AMSOC 26-003 Module A Test. Utilize flashcards and multiple choice questions with hints and explanations. Ace your exam!

Multiple Choice

The sum of the interior angles of a triangle is 180 degrees. If one angle is 30 degrees and another is 60 degrees, what is the third angle?

Explanation:
The total of interior angles in any triangle is 180 degrees, so the third angle is found by subtracting the sum of the known angles from 180. With 30 and 60 degrees here, their sum is 90, so the remaining angle is 180 − 90 = 90 degrees. That makes the triangle a right triangle. The other options don’t work because they don’t bring the total to 180: 60 would give 150, 120 would exceed 180, and 45 would give 135. The 90-degree angle is the one that completes the 180.

The total of interior angles in any triangle is 180 degrees, so the third angle is found by subtracting the sum of the known angles from 180. With 30 and 60 degrees here, their sum is 90, so the remaining angle is 180 − 90 = 90 degrees. That makes the triangle a right triangle. The other options don’t work because they don’t bring the total to 180: 60 would give 150, 120 would exceed 180, and 45 would give 135. The 90-degree angle is the one that completes the 180.

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