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For each picture below, determine the supplementary angles, if possible.

For each picture below, determine the supplementary angles, if possible.-example-1

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Let us begin by defining supplementary angles

Supplemenatary angles are angles that sum up to 180 degrees

We are given a triangle inscribed in a triangle. By definition, the sum of angles in a triangle is 180 degrees

Hence, the supplementary angles are


\angle x,\text{ }\angle\angle y,\text{ }\angle z

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