Help and i will give brainliest if it’s right

Therefore, the value of x = 4

Step-by-step explanation:

It is clear that a closed 2D shape with 5 sides and 5 angles is called the Pentagon.

Therefore, the given polygon figure represents the Pentagon.

We know that the sum of interior angles in a Pentagon is 540°.

so

100° + 20x° + (16x+16)° + 140° + (160-5x)° = 540°

Remove parentheses

100+20x+16x+16+140+160-5x=540

Group like terms

20x+16x-5x+100+16+140+160=540

Add similar elements:  20x+16x-5x=31x

31x+100+16+140+160=540

Add the numbers: 100+16+140+160=416

31x+416=540

subtract 416 from both sides

31x+416-416=540-416

Simplify

31x=124

Divide both sides by 31

31x/31 = 124/31

Simplify

x = 4

Therefore, the value of x = 4