Question

What is the measure of one angle of a regular octagon

Answer 1

We use the formula to find the sum of the interior angles of an octagon, then we can divide it by the number of sides it has.


`\sf180(n-2)`

Where 'n' is the number of sides.

An octagon has 8 sides, so we have:


`\sf180(8-2)`

Subtract:


`\sf180(6)`

Multiply:


`\sf1080`

This is the sum of all the angles in a regular octagon, and since an octagon has 8 angles, we divide by 8 to find the measure of one angle.


`\sf1080/8=\boxed{\sf135}`