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in Lines and Angles by (48.6k points)
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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

1 Answer

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Best 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

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