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Question
AB is a diameter of a circle with centre O and radius OD is perpendicular to AB. If C is any point on arc DB, find ∠ BAD and ∠ ACD.
Solution
Since, chord BD makes ∠BOD at the centre and ∠BAD at A.
∴ ∠BAD = `1/2`∠BOD
= `1/2` x 90°
= 45°
Similarly,
Chord AD makes ∠AOD at the centre and ∠ACD at C.
∴ ∠ACD = `1/2`∠AOD
= `1/2` x 90° = 45°
Thus, ∠BAD = ∠ACD = 45°.
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