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He starts by finding the sum of the exterior angles of a Pentagon, which isand then he solves to find that x is

He Starts By Finding The Sum Of The Exterior Angles Of A Pentagon Which Isand Then He Solves To Find That X Is class=

Sagot :

[tex]\begin{gathered} x\text{ = 33}\frac{2}{3} \\ \text{The sum of the exterior angles of a pentagon is 360} \end{gathered}[/tex]

The sum of the exterior angle of all polygons is same.

This is equal to 360

So, when we add all the exterior angles, this is equal to 360

Thus, mathematically;

[tex]\begin{gathered} x\text{ +2x + 78 + 77 + 3x+3 = 360} \\ \\ 6x\text{ + 158 = 360} \\ \\ 6x\text{ = 360-158} \\ \\ 6x\text{ = 202} \\ \\ x\text{ = }\frac{202}{6} \\ \\ x\text{ = 33}\frac{2}{3} \end{gathered}[/tex]

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