SOLUTION: The degree measures of the angles of a triangle are x, y, and z. If x, y, and z are integers and x < y < z, what is the least possible value of one of the exterior angles? The de

Question 1177256: The degree measures of the angles of a triangle are x, y, and z. If x, y, and z are integers and x < y < z, what is the least possible value of one of the exterior angles? The degree measures of the angles of a triangle are x, y, and z. If x, y, and z are integers and x < y < z, what is the least possible value of one of the exterior angles?
Answer by Solver92311(821) (Show Source): You can put this solution on YOUR website!

If all of the measures of the angles are integers, then the largest interior angle would be 178 degrees which would occur when the other two interior angles were 1 degree each. Since an exterior angle is supplementary to the associated interior angle, the smallest possible exterior angle would be supplementary to the largest possible interior angle and would therefore measure 2 degrees.

John

My calculator said it, I believe it, that settles it

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