2 Answers

Feralamillo · Answer 1 · 2021-11-30T10:27:17+0000

Answer:

x=115^o

Explanation:

Angles Inside a Polygon

A polygon of n sides must have the sum of its internal angles

S=180^o(n-2)

The polygon shown in the figure has n=5 sides, so the sum of its internal angles is

S=180^o(5-2)=540^o

The construction of the internal angles of the polygon is shown in the image below. The sum of them is

50+180-x+180-x+360-x+x=540

Reducing

-2x+770=540

Solving

$\displaystyle x=(770-540)/(2)$

$\boxed{x=115^o}$

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