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Question

In Fig. 59, the value of x is
(a) 84
(b) 74
(c) 94
(d) 57

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Solution

∠CAD = ∠ABC + ∠ACB [Exterior angle property]
⇒ 123° = 39° + x°
⇒ 84° = x°
⇒ x = 84
Hence, the correct answer is option (a).

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