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mestny [16]
3 years ago
12

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, <em>n</em> 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 <em>n</em> 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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