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Question

The value of x in the given figure is _______


A

60

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B

45

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C

30

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D

15

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Solution

The correct option is C

30




(i)ABC is equilateral (all angles are equal)
(ii)ACD=120 (exterior angle)
(iii)ACD is isosceles (AC=CD)
(iv)CAD=ADC=x (Base angles of an isosceles)
(v)x=(180120)2=30 Hence (c)


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