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Linear Pair

In Fig. 93 , ...

Question

In Fig. 93, if AOC is a straight line, then x =
(a) 42°
(b) 52°
(c) 142°
(d) 38°

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Solution

∠AOD + ∠DOB + ∠BOC = 180^∘ [∵ AOC is a straight line]
⇒ 38^∘ + x+ 90^∘ = 180^∘
⇒ x + 128^∘ = 180^∘
⇒ x = 52^∘
Hence, the correct answer is option (b).

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Q. Mark (✓) against the correct answer
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