Question

find the angle measure X in the following figures​

Answer 1

ANSWER---

It is a pentagon--

all sides measure is equal to 540

now it is given that they are equal. so the equation can be formed as 5x=540

x=540/5

x=108

I hope it helps

Answer 2

As we know that the given figure is a pentagon.

So,

The sum of the interior angle of the pentagon is $540$°

The angle sum of a polygon is,

$= (n - 2)$ ×$180$°

$= (5 - 2)$× $180$°

$= 3$× $180$°

$= 540$°

Let each angle of the polygon be x since it is a regular pentagon.

Angle sum of a polygon$= x + x + x + x + x = 540$°

$5x = 540$°

$x = 540$°/$5$

$x = 108$°

 

So that each interior angle is $108$°