Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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]

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.