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Question from percy, a student:

a regular polygon has n sides .The size of each interior angle is eight times the size of each exterior angle .
1.find the size of each exterior angle
2.calculate the value of n

Hi Percy,

Below is a diagram of one of the vertices, $V$ of the polygon with the interior and exterior labeled.

polygon vertex

The measure of the exterior angle is $t$ degrees. What is the measure of the interior angle in terms of $t?$ The measure of the interior angle is 8 times the measure of the exterior angle. Solve for $t.$

For part 2 I suggest you look at Walters response to Evelina.

Penny

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