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Find the angle measure x in the following figure.

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80^o

75^o

60^o

100^o

answer is C.

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Detailed Solution

From the given quadrilateral three angles are 40^o, 100^o, and 140^o.

We know that sum of four angles of a quadrilateral is equal to 360^o.

So, 40^o + 100^o + 140^o + x = 360^o

=> 280^o + x = 360^o

=> x = 360^o – 280^o

=> x = 80^o

Therefore, the value of x is 80^o.

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