in the given figure prove that
(i)AE/CE = BE/DE
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In triangle AEC and triangle BED,
angle AEC is congruent to angle BED ____
common angle
angle AEC =~= angle BED _____ vertically opposite angles
By AA test of similarity ,
∆AEC ~ ∆BED.
AE/ BE = EC / ED __ congruent sides of congurent triangles.
therefore , AE/ EC = BE / ED ___ ALTERNANDo
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