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.

$\sf1080\div8=\boxed{\sf135}$