In Fig. 106, the value of x is
(a) 22
(b) 20
(c) 21
(d) 24

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Solution

(8x − 41)^∘ + (3x)^∘ + (3x + 10)^∘ + (4x − 5)^∘= 360^∘
⇒ 8x − 41 + 3x + 3x + 10 + 4x − 5 = 360
⇒ 18x − 36 = 360
⇒ 18x = 396
⇒ x = 22
Hence, the correct answer is option (a).

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