Q10 of 115 Page 8

In Fig. 8.125, the value of x is

Let,

AB, CD and EF intersect at O


∠COB = ∠AOD (Vertically opposite angle)


∠AOD = 3x + 10 (i)


∠AOE + ∠AOD + ∠DOF = 180o (Linear pair)


x + 3x + 10o + 90o = 180o


4x + 100o = 180o


4x = 80o


x = 20o

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In Fig. 8.123, the value of y is

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In Fig. 8.124, if = 5 and = 4, then the value of x is

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In Fig. 8.126, which of the following statements must be true?


(i) a + b = d + c


(ii) a + c + e =180°


(iii) b + f = c + e

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If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2:3, then the measure of the larger angle is