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Step-by-step explanation:
Given: AP||BC And BP||CQ
Prove: area of triangle ABC and BQP
proof: AP||BC________(1)
BP||CQ________(2)
Subtract eq. (1) and (2)
AP - BP = BC - CQ
AB = CQ
In triangle ABC and BQP
AB = CQ. ( Proved)
BC = BC (Given)
Angle 1 = angle 2 (V. O. A)
Triangle ABC ~Congruent triangle BQP (by SAS)
(hence proved),
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