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A B is hypotenuse of two right triangle A C B and ADB.
⇒ ∠ACB=90
The
and ∠ADB=90
The
.
⇒ ∠ACB+∠ADB=90
The
+90
The
=180
The
Sum of opposite angles of a quadrilateral A C B D is supplementary.
∴ Quadrilateral A C B D is a cyclic quadrilateral.
⇒ ∠BAC and ∠BDC are made by the same arc BC.
We know that, angles made in same arc are equal.
∴ ∠BAC=∠BDC
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