In the given figure, AOB is a straight line, ∠AOC = (3x – 8)°, �

1.	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
Answer» (a) 32 Because, It is given that the angles of the side be (3x – 8)^o, 50^o and (x + 10)^o. = (3x – 8) + 50^o + (x + 10) = 180 … [∵ Linear pair] = 3x – 8 + 50 + x + 10 = 180 = 4x + 52 = 180 = 4x = 180 – 52 = 4x = 128 = x = 128/4 = x = 32

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

Answer»

(a) 32

Because,

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

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

= 3x – 8 + 50 + x + 10 = 180

= 4x + 52 = 180

= 4x = 180 – 52

= 4x = 128

= x = 128/4

= x = 32