kya koi genius iska answer de ga
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Step-by-step explanation:
Given that.
AC is the diameter of the circle with the centre C.
BD is the angle bisector of ∠ABC
So,
∠ABD=∠CBD (By property)
To Prove:-
Seg OD⊥ Seg AC
Proof:-
∠ABC=90
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(Angle inscribed in semicircle)
⇒∠ABD+∠CBD=90
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⇒∠ABD+∠ABD=90
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⇒∠2ABD=45
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⇒∠ABD=40
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Also,
∠AOD=2×∠ABD (Central Angletheorem)
⇒∠AOD=2×45
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