Question

In a convex octagon, three of the exterior angles each have a measure of x°. The other five exteriorangles each have a measure of (2x + 7)'. Find the measure of each exterior angle.x =(2x+7) =

Answer 1

Since we have that the sum of all exterior angles of any convex polygon adds 360°, we will have the following:

`3(x)+5(2x+7)=360`

Now, we operate like terms and solve for x:

`3x+10x+35=360\Rightarrow13x+35=360`
`\Rightarrow13x=325\Rightarrow x=25`

So, the value of x is 25.

And, the value of (2x + 7) is 57.