Question

Need help with a math question

Answer 1

Answer:
`x=71`

Explanation:

We need to remember that the sum of the exterior angles of a polygon is 360 degrees.

Knowing this, we can write the following expression:

`(x+4)+(x+2)+(x+5)+x+(x-6)=360`

Finally, we need to solve for "x" to find its value. Therefore, this is:

`x+4+x+2+x+5+x+x-6=360\\\\5x+5=360\\\\5x=360-55\\\\5x=355\\\\x=(355)/(5)\\\\x=71`

Answer 2

`x = 71 \degree`

EXPLANATION

The sum of the exterior angles of a polygon is 360°

The angles were given in terms of x.

We add all and equate to 360° to obtain.

`x + (x - 6) + (x + 4) + (x + 2) + (x + 5) = 360 \degree`

This implies that,

`5x + 5 = 360`

`5x = 360 - 5`

`5x = 355`

`x = (355)/(5)`

`x = 71 \degree`