An exterior angle of a triangle equals the sum of which interior angles?

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Multiple Choice

An exterior angle of a triangle equals the sum of which interior angles?

Explanation:
An exterior angle equals the sum of the two interior angles that are opposite to it. This follows because the three interior angles of a triangle add to 180 degrees, and the exterior angle plus the adjacent interior angle also add to 180 degrees. If you extend one side at a vertex, the exterior angle is 180 minus that interior angle, and the other two interior angles add up to 180 minus that same interior angle. Therefore, the exterior angle must equal the sum of those two opposite interior angles. This is why the correct description is the sum of the two interior angles not sharing the extended side.

An exterior angle equals the sum of the two interior angles that are opposite to it. This follows because the three interior angles of a triangle add to 180 degrees, and the exterior angle plus the adjacent interior angle also add to 180 degrees. If you extend one side at a vertex, the exterior angle is 180 minus that interior angle, and the other two interior angles add up to 180 minus that same interior angle. Therefore, the exterior angle must equal the sum of those two opposite interior angles. This is why the correct description is the sum of the two interior angles not sharing the extended side.

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