Question

What is the value of x in the figure shown?

a.) 9.3
b.) 15.2
c.) 17.5
d.) 35

Answer 1

C. 17.5

Explanation:

The sum of all exterior angles is 360. This means that if you were to add the values of exterior angles, it will always give you 360.

First, we have to combine like terms and set it equal to 360.

`6x-30+8x+16+8x-11=360\\`
`22x-25=360`

Now, you isolate the variable.

First, add 25 to both sides.

`22x-25+25=360+25`

`22x=385`

Then divide 22 from both sides.

`x=17.5`

Here's a picture that might help you.