Q24 of 115 Page 8

In Fig. 8.136, if CP || DQ, then the measure of x is

Given that,

CP ‖ BQ


Produce CP to E


So, PE ‖ BQ and AB cuts them


∠QBE = ∠CBA = 105o (Corresponding angles)


In


∠CEA + ∠ECA + ∠EAC = 180o


105o + ∠ECA + 25o = 180o


∠ECA = 50o


∠PCA + ∠ECA = 180o (Linear pair)


x + 50o = 180o


x = 130o

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