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in Lines and Angles by (48.6k points)
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In the given figure, AOB is a straight line, ∠AOC = (3x – 8)°, ∠AOC = 50° and ∠BOD = (x + 10)°. The value of x is

(a) 32 (b) 42 (c) 36 (d) 52

1 Answer

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Best answer

(a) 32

Because,

It is given that the angles of the side be (3x – 8)o, 50o and (x + 10)o.

= (3x – 8) + 50o + (x + 10) = 180 … [∵ Linear pair]

= 3x – 8 + 50 + x + 10 = 180

= 4x + 52 = 180

= 4x = 180 – 52

= 4x = 128

= x = 128/4

= x = 32

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