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Question

Find the value of X in the figure below:


A

80

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B

60

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C

70

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D

100

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Solution

The correct option is A

80


We know that,

ABC + CAB + ACB = 180 (angle sum property)

⇒ 90 + 50 + ACB = 180

ACB = 40

KCL = ACB = 40 (vertically opposite angles)

KCL + CLK + X = 180

⇒ 40 + 60 + X = 180

X = 80


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