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Question

Find the value of X in the figure below:



Correct Answer
A

80

Your Answer
B

60

Your Answer
C

70

Your Answer
D

100


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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