If two angles of a triangle measure 50 degrees and 60 degrees, what is the measure of the third angle?

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Multiple Choice

If two angles of a triangle measure 50 degrees and 60 degrees, what is the measure of the third angle?

Explanation:
In any triangle, the angles add up to 180 degrees. So the third angle is 180 minus the sum of the other two: 180 − (50 + 60) = 180 − 110 = 70 degrees. Checking the total: 50 + 60 + 70 = 180, which confirms it. If the third angle were 60, 50, or 80, the angles would add to 170, 160, or 190 respectively, which isn’t possible for a triangle. So the third angle measures 70 degrees.

In any triangle, the angles add up to 180 degrees. So the third angle is 180 minus the sum of the other two: 180 − (50 + 60) = 180 − 110 = 70 degrees. Checking the total: 50 + 60 + 70 = 180, which confirms it. If the third angle were 60, 50, or 80, the angles would add to 170, 160, or 190 respectively, which isn’t possible for a triangle. So the third angle measures 70 degrees.

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