Question

part A: find the value of each interior anglepart B: find the value of xPart C: find the value of each exterior angle

Answer 1

We have an octagon.

An interior angle of an octagon has a measure of 135 degrees.

Then we can write:

`\begin{gathered} 3x+57=135 \\ 3x=135-57 \\ 3x=78 \\ x=(78)/(3) \\ x=26 \end{gathered}`

The exterior angle and the interior angle complete 360 degrees.

Then, the exterior angle measure is:

`\begin{gathered} mE+135=360 \\ mE=360-135=225 \end{gathered}`

A) 135 degrees.

B) x=26

C) 225 degrees.