Question

Richard ordered a coffee table that was a regular pentagon. Find the measure of an exterior angle of the table.

(JUSTIFY)

Answer 1

72

Explanation:

If you find an interior angle, its supplement will be the exterior angle. That's one way to do the problem.

Another is to take 360 and divide it by the number of sides. That is the easier way to do it.

Exterior angle = 360 / divided by the number of sides

Exterior angle = 360 /5

Exterior angle = 72

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The other way is done by

(n - 2) * 180 = 540

That's the total number of degrees in the interior of the pentagon.

1 interior angle = 540 / 5 = 108

The supplement of this angle is 180 - 108 = 72

Same answer 2 different ways.