An exterior angle of a parallelogram

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Quandaries & Queries

Question from a student:

one angle of a parallelogram is four times the measure of the exterior angle adjacent to it. find the interior angles

Hi,

An external angle in a polygon is defined in our glossary of mathematical terms. In the diagram below the edge $DA$ of the parallelogram is extended to $P$ to form the exterior angle $BA$ which is adjacent to the interior angle $DAP.$

exterior angle

Can you complete the problem now?

Penny

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