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  1. Two circles C1 and C2 touch each other internally at P. Two lines PCA and PDB meet the circles C1 in C, D and C2 in A, B respectively. If ∠BDC = 120°, then the value of ∠ABP is equal to
    1. 60°
    2. 80°
    3. 100°
    4. 120°
Correct Option: A

On the basis of question we draw a figure of two circles C1 and C2 touch each other internally at P ,

Given , ∠BDC = 120°
∴ ∠CDP = 180° – 120° = 60°
CD || AB
∴ ∠ABP = 60° = ∠CDP



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