Question

Need help with a math question

Answer 1

ANSWER

$x = 71 \degree$

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,

$5x + 5 = 360$

$5x = 360 - 5$

$5x = 355$

$x = \frac{355}{5}$

$x = 71 \degree$

Answer 2

Answer: $x=71$

Step-by-step 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:

$x+4+x+2+x+5+x+x-6=360\\\\5x+5=360\\\\5x=360-55\\\\5x=355\\\\x=\frac{355}{5}\\\\x=71$