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In the given figure, AB is the diameter. If CDAB and 2 BAD -40°, find LACD.

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AB is a diameter of a circle with centre O and radius OD is perpendicular to AB.

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asked Mar 9, 2019 in Class X Maths by navnit40 (-4,939 points)

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.

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answered Mar 9, 2019 by aditya23 (-2,146 points)

Since, chord BD makes ∠BOD at the centre and ∠BAD at A.

∴ ∠BAD = ½ ∠BOD = ½ × (90˚) = 45˚

Similarly, chord AD makes ∠AOD at the centre and ∠ACD at C.

∴ ∠ACD = ½ ∠AOD

= ½ × (90˚) = 45˚

Thus, ∠BAD = ∠ACD = 45˚

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