In the adjoining figure, what value of x will make AOB a straight line

1.	In the adjoining figure, what value of x will make AOB a straight line?(a) x = 30 (b) x = 35 (c) x = 25 (d) x = 40
Answer» (b) x = 35 Because, It is given that the angles of the side be (2x – 10)^o and (3x + 15)^o. = (2x – 10) + (3x + 15) = 180 … [∵ Linear pair] = 2x – 10 + 3x + 15 = 180 = 5x + 5 = 180 = 5x = 180 – 5 = 5x = 175 = x = 175/5 = x = 35

In the adjoining figure, what value of x will make AOB a straight line?(a) x = 30 (b) x = 35 (c) x = 25 (d) x = 40

Answer»

(b) x = 35

Because,

It is given that the angles of the side be (2x – 10)^o and (3x + 15)^o.

= (2x – 10) + (3x + 15) = 180 … [∵ Linear pair]

= 2x – 10 + 3x + 15 = 180

= 5x + 5 = 180

= 5x = 180 – 5

= 5x = 175

= x = 175/5

= x = 35