What is the measure of each interior angle of a regular octagon ?

135°

Step-by-step explanation: In this problem, we're asked to find the measure of  each interior angle of a regular octagon.

So let's use our formula for finding the measure of

each interior angle of a regular octagon which is .

In this formula, n represents the

number of sides of the polygon.

Remember that an octagon is a polygon that has 8 sides

so we plug a 8 in for n and we have .

Simplifying across the top, (8 - 2) is 6so we have .

180(6) is 1,080 so we have and

1,080 divided by 8 gives us 135.

So the measure of each interior angle of a regular octagon is 135°.

I have also attached my work below.

i dont know sorry

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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