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Find the value of x in the figure below:

Find the value of x in the figure below:-example-1

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Answer:

let remaining angle in heptagon be a.

a+64=180(linear pair)

a=116

again

x+155+90+163+a+121°=720(sum of interior angle of hexagon is (6-2)×180°)

x+529+a=720

x+116=720-529

x=191-116=75

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