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In ΔBDC
BD = DC
Therefore, ∠DCB = ∠DBC (angle opp. to equal side)
∠DCB = 40°
Now,
∠DCB + ∠DBC +∠BDC = 180° ( ASP)
40°+40°+∠BDC = 180°
∠BDC = 180 - 80
∠BDC = 100°
Now,
ABCD is cyclic quadrilateral
⇒∠BDC + ∠BAC = 180 (sm of opp sides of cyclic quad)
100 + ∠BAC = 180°
∠BAC = 80°
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