Question

In Fig. 89, the value of x is
(a) 75
(b) 65
(c) 45
(d) 55

Answer 1

∠AOC and ∠BOC = 180^∘ [∵ Linear pair angles]
⇒ 44^∘+ (2x + 6)^∘ = 180^∘
⇒ (2x + 6)^∘ = 136^∘
⇒ 2x + 6 = 136
⇒ 2x = 130
⇒ x = 65
Hence, the correct answer is option (b).