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Question

Question 17

In the given figure, PA|| BC|| DT and AB|| DC. Then, the values of a and b

(a) 60,120
(b) 50,130
(c) 70,110
(d) 80,100

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Solution

It is given that, PA|| BC and AB is transversal,
PAB=ABC [alternate interior angles]50=a
Also AB||DC and BC is transversal.
ABC+DCB=180 [consecutive interior angles]a+DCB=180DCB=180aDCB=18050 a=50DCB=130
Also BC|| DT and DC is transversal,
CDT=DCB [alternate interior angles]b=130 DCB=130


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