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3 years ago

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

Mathematics

2 answers:

Sphinxa [80]3 years ago

8 0

Answer: 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 $\frac{180(n - 2)}{n}$ .

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 $\frac{180(8 - 2)}{8}$ .

Simplifying across the top, (8 - 2) is 6so we have $\frac{180(6)}{8}$ .

180(6) is 1,080 so we have $\frac{1,080}{8}$ 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.

hodyreva [135]3 years ago

6 0

Answer:

135 degrees

Step-by-step explanation:

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2 years ago

Ede4ka [16]

Answer:

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