Question

What is the approximate measure of exterior angle B in the polygon?

Answer 1

Given

The sum of the exterior angles of a polygon is 360 degrees.

`\begin{gathered} 9x+3+8x+9x+5+5x+4=360 \\ 31x=360-12 \\ 31x=248 \\ x=11.22580 \end{gathered}`

Now to find B

`\begin{gathered} 9x+3 \\ 9(11.2258)+3 \\ =104.0322 \end{gathered}`The final answerOption B
`\begin{gathered} appoximately \\ 104^0 \end{gathered}`