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

The sum of all measures of interior angles in a polygon with n sides is given by formula .

The sum of all measures of exterior angles in a polygon with n sides is always .

Then

A) For a pentagon, n=5.

The sum of all measures of interior angles in a pentagon is .

B) For a 16-sided polygon, n=16.

The sum of all measures of interior angles in a 16-sided polygon is .

B) For a dodecagon, n=12.

The sum of all measures of interior angles in a dodecagon is .

If these polygons are regular or equiangular, then

A) Interiror angle has measure and exterior angle has measure .

B) Interiror angle has measure and exterior angle has measure .

C) Interiror angle has measure and exterior angle has measure .

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step-by-step explanation:

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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