In Fig. 8.139, if AB||CD, then x =

Given that,

AB CD


Produce P to Q so that PQ AB CD


BAP + APQ = 180o (Interior angle)


132o + APQ = 180o


APQ = 48o (i)


APC = APQ + QPC


148o = 48o + QPC [From (i)]


QPC = 100o


QPC + PCD = 180o (Interior angles)


100o + PCD = 180o


PCD = 80o


PCD + x = 180o (Linear pair)


80o + x = 180o


x = 100o

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