Question

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

Answer 1

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.

Answer 2

Answer:

135 degrees

Step-by-step explanation: