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Question

In the given figure, AB is a diameter and AC is a chord of the circle and the tangent at C intersects AB produced in D. If BAC=30, then CDB= ______.


  1. 120

  2. 30

  3. 100

  4. 60


Solution

The correct option is B

30


ACB=90 (angles in the semicircle)
BCD=30 ( angles in the alternate segment are equal)
ACD=ACB+BCD
=90+30=120
CDB=180(30+120)     .....(sum of angles in a triangle)
=180150=30

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