Question

What is the measure of an interior angle in a regular octagon

Answer 1

`135^(\circ)`

Explanation:

The sum of the interior angles of a polygon with
`n` sides is equal to
`(n-2)180`. Since an octagon has 8 sides, the sum of its interior angles is equal to:

`(8-2)180=6\cdot 180=1,080^(\circ)`

By definition, a regular polygon is a polygon with equal sides and angles. An octagon has 8 sides and 8 angles. Therefore, a each interior angle of a regular octagon must be equal to:

`(1,080)/(8)=\boxed{135^(\circ)}`

Answer 2

I think the sum of the measures of the interior angles of an octagon =(8−2)180° . The sum of the measures of the interior angles of an octagon is 1080° .

I hope this help!:)