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It is possible because AB and AC are equal and BD and BC are equal.
If all the lines are equal then the angle would be same for all the lines drawn in the interior of the diagram.
Answer:
join A to D
In triangle ABD AND ADC
AB=AC(given)
DB=DC(given)
AD=AD(common)
by SSS congruency rule,
Triangle ABD is congruent to ADC
angle abd = acd by cpct.
hope this answer gives you an understanding!!
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