plz help.tommorow is my exam
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Step-by-step explanation:
As line drawn through the centre of a circle bisecting a chord is perpendicular to the chord.
∴ OD perpendicular BC
In the right triangles OBD and OCD, We have
OB = OC (Radii of the same circle)
OD = OD (Common)
∠ODB = ∠ODC (Each 90°)
∴ △OBD ≅ △OCD (By RHS congruence criterion)
⇒ ∠BOD = ∠COD (CPCT)
⇒ ∠BOD = 1/2∠BOC ..(i)
Also, ∠A = 1/2∠BOC ..(ii)
From (i) and (ii), we have
∴ ∠BOD = ∠A
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