QUESTION IMAGE
Question
complete this sentence with the best of the choices given. the measure of an exterior angle of a triangle is ________ the sum of the measures of the ________ remote interior angles. after you pick your answer press go. a b c d e complementary to; three
Step1: Recall exterior - angle theorem
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. This is a well - known geometric theorem. There are only two remote interior angles for a given exterior angle of a triangle. For example, if we have a triangle $\triangle ABC$ and an exterior angle $\angle ACD$ (where $D$ is a point on the extension of side $AB$), then $\angle ACD=\angle A+\angle B$. So the first blank is "equal to" and the second blank is "two".
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equal to; two