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.
\(\sf1080\div8=\boxed{\sf135}\)
