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As, ΔABC is isosceles
angle B = angle C
But BCED is a cyclic quadrilateral with base angles B and C are equal.
⇒ angle B = angle E
But angle B + angle E = 180 degrees (opp angles of cyclic quadrilateral are supplementary)
⇒ angle C + angle E = 180 degrees
Therefore, DE is parallel to BC
1 5 1
angle B is not equal to angle E.
remove that line, it is not required.
Nice answer. should be angle B = angle C