Find the measure of each interior angle and each exterior angles of the following regular polygons. show all work. a. pentagon b. 16-gon c. dodecagon

1. The sum of the measures of Interior Angles of n-sided polygon = (n-2) × 180°

2. The sum of the measures of Exterior Angles of n-sided polygon = 360°.

If all polygons are regular or equiangular, then:

A. For pentagon n=5 and the sum of Interior Angles of n-sided polygon = (5-2) × 180°=540°. All interior angles have the same measure, then each interior angle has measure 108°. Each exterior angle has measure 360°:5=72°.

B. For n=16, interior angle will have measure (16-2)×180°/16=157.5° and exterior angle will have measure 360°/16=22.5°.

C. For dodecagon n=12 and interior angle will have measure (12-2)×180°/12=150°, exterior angle will have measure 360°/12=30°.

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