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Linear Pair

In Fig. 94, i...

Question

In Fig. 94, if ∠AOC is a straight line, then the value of x is
(a) 15
(b) 18
(c) 20
(d) 16

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Solution

∠AOD + ∠DOB + ∠BOC = 180^∘ [ AOC is a straight line]
⇒ 2x^∘ + 90^∘ + 3x^∘= 180^∘
⇒ 5x^∘ + 90^∘ = 180^∘
⇒ 5x = 90
⇒ x = 18
Hence, the correct answer is option (b).

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