Find the value of x in the figure below.
a. 145
b. 109
C. 100
d. 280
120°
156
145
(x + 9)

The polygon is a hexagon and the value of x in the figure is 100
The polygon is a hexagon, because it has 6 sides
So, the sum of angles in it is:
Sum = 180(6 - 2)
Evaluate
Sum = 720
The sum of angles in the shape are:
x + 90 + x+ 9 + 145 + 156 + 120 = 720
Evaluate thelike terms
2x = 200
Divide both sides by 2
x = 100
Hence, the value of x in the figure is 100
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