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kudzordzifrancis

ANSWER

[tex]x = 71 \degree[/tex]

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.

[tex]x + (x - 6) + (x + 4) + (x + 2) + (x + 5) = 360 \degree[/tex]

This implies that,

[tex]5x + 5 = 360[/tex]

[tex]5x = 360 - 5[/tex]

[tex]5x = 355[/tex]

[tex]x = \frac{355}{5} [/tex]

[tex]x = 71 \degree[/tex]

luisejr77

Answer: [tex]x=71[/tex]

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:

[tex](x+4)+(x+2)+(x+5)+x+(x-6)=360[/tex]

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

[tex]x+4+x+2+x+5+x+x-6=360\\\\5x+5=360\\\\5x=360-55\\\\5x=355\\\\x=\frac{355}{5}\\\\x=71[/tex]

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