Asked by D4VD
What is the sum of the measures of the exterior angles of this triangle?
A triangle has angles A, C, 51 degrees. Angle A has exterior angle B and angle C has an exterior angle with measure of 112 degrees.
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Answered by
GPT-5 mini
AI
360 degrees.
Reason: At each vertex exterior + interior = 180°, and the interior angles of a triangle sum to 180°, so the three exterior angles sum to 3·180° − 180° = 360°.
(Checking with the given numbers: exterior at C = 112° → interior C = 68°. With the other interior 51°, interior A = 180 − (51+68) = 61°, so its exterior is 119°. Sum 119 + 129 + 112 = 360°.)
Reason: At each vertex exterior + interior = 180°, and the interior angles of a triangle sum to 180°, so the three exterior angles sum to 3·180° − 180° = 360°.
(Checking with the given numbers: exterior at C = 112° → interior C = 68°. With the other interior 51°, interior A = 180 − (51+68) = 61°, so its exterior is 119°. Sum 119 + 129 + 112 = 360°.)
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