SOLUTION: The measure of an exterior angle of a triangle is 116 and the measure of one angle of the triangle is 68. What are the measures of the other two angles of the triangle?

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Question 1011908: The measure of an exterior angle of a triangle is 116 and the measure of one angle of the triangle is 68. What are the measures of the other two angles of the triangle?
Answer by MathLover1(20850) About Me  (Show Source):
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Theorem: An measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.
if the measure of angle highlight%28alpha=68%29 (at vertices A),
and if the measure of an exterior angle of a triangle is 116
if that exterior angle is at vertices B, then it is supplementary angle to angle beta;
so, beta%2B116=180=>beta=180-116=>highlight%28beta=64%29
then
alpha%2Bbeta%2Bgamma=180
68%2B64%2Bgamma=180
gamma=180-%2868%2B64%29
gamma=180-132
highlight%28gamma=48%29