High School

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------------------------------------------------ Find the value of x in the figure below.

a. 145

b. 109

C. 100

d. 280

120°

156

145

(x + 9)

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Answer :

The polygon is a hexagon and the value of x in the figure is 100

How to determine the value of x?

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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