In a triangle, if two angles are 50° and 60°, what is the measure of the third angle?

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Prepare for the GMAS 6th Grade Mathematics Test with guided quizzes. Study using flashcards and multiple-choice questions with detailed hints. Succeed in your math exam!

Multiple Choice

In a triangle, if two angles are 50° and 60°, what is the measure of the third angle?

Explanation:
In any triangle, the interior angles always add up to 180 degrees. So to find the missing angle, add the two given angles and subtract from 180. The two given angles total 110, so the third angle is 180 − 110 = 70 degrees. This keeps the whole triangle’s angles together as 50 + 60 + 70 = 180. If the third angle were 60, the sum would be 170; if it were 50, the sum would be 160; if it were 80, the sum would be 190. None of those equal 180, so 70 is the only value that fits.

In any triangle, the interior angles always add up to 180 degrees. So to find the missing angle, add the two given angles and subtract from 180. The two given angles total 110, so the third angle is 180 − 110 = 70 degrees. This keeps the whole triangle’s angles together as 50 + 60 + 70 = 180.

If the third angle were 60, the sum would be 170; if it were 50, the sum would be 160; if it were 80, the sum would be 190. None of those equal 180, so 70 is the only value that fits.

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