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Question

In fig. if AB||CD then find the value of x.
1049569_f97f658203444447b88aef81c4e50aee.PNG

Solution
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From the figure we have, EPB=180o(5x20o)......(1)[ Since BPE+QPB=180o]
Again PQD=QPB [ Similar angles]
or, 180o(5x20o)=2x10o
or, 7x=210o
or, x=210o7=30o.

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