Answer:
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
