SOLUTION: Two angles of a triangle have measures of 55 degrees and 65 degrees . What could not be a measure of an exterior angle of the triangle ?

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Question 821913: Two angles of a triangle have measures of 55 degrees and 65 degrees . What could not be a measure of an exterior angle of the triangle ?
Answer by Edwin McCravy(20060) About Me  (Show Source):
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Two angles of a triangle have measures of 55 degrees and 65 degrees . What could not be a measure of an exterior angle of the triangle ?
Two of the angles are given as 55° and 65°.  We can find the third
angle by adding them and subtracting from 180°.

55°+65°=120°, 180°-120°=60°, so the third angle is 60°



Now we find the three exterior angles, by subtracting each interior
angle from 180°:

180°-55°=125°,  180°-65°=115°,  180°-60°=120°




So the ONLY possible values for the exterior angles are 125°, 115°, 120°.

Any value other than 125°, 115°, 120° could not be the measure of an
exterior angle.

Edwin