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In the given figure, O is center of the circle, AB || DC and ∠ACD = 32°, ∠DAB is equal to :

  1. 122°

  2. 148°

  3. 90°

  4. none of the above

In the given figure, O is center of the circle, AB || DC and ∠ACD = 32°, ∠DAB is equal to : Circles, Concise Mathematics Solutions ICSE Class 10.

Circles

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Answer

Join DA.

From figure,

In the given figure, O is center of the circle, AB || DC and ∠ACD = 32°, ∠DAB is equal to : Circles, Concise Mathematics Solutions ICSE Class 10.

In △DAC,

∠DAC = 90° (Angle in semicircle is a right angle)

As, alternate angles are equal.

∴ ∠CAB = ∠ACD = 32°

From figure,

∠DAB = ∠DAC + ∠CAB = 90° + 32° = 122°.

Hence, Option 1 is the correct option.

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