Question

and I'm a two parallel lines intersected by another pair of parallel lines lines p and q show that ∆ABC concurrent ∆ CDA.​

Answer 1

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In ΔABC and ΔCDA,

∠BAC = ∠DCA (Alternate interior angles, as p || q)

AC = CA (Common)

∠BCA = ∠DAC (Alternate interior angles, as l || m) ∴ ΔABC ≅ ΔCDA (By ASA congruence rule)

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