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Question

Five angles of a hexagon have measures 100,110,120,130 and 140. What is the measure of the remaining angle?

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Solution

Number of sides in a hexagon=n=6
Sum of interior angles=(n2)180=(62)180=720
Let the remaining angle be x
x+100+120+130+140=720
x+600=720
x=720600=120
Measure of sixth angle is 120


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