1.

In the given figure below, two circles \[{{C}_{1}}\] and \[{{C}_{2}}\] touch each other internally at P. Two lines PCA and PCB meet the circles \[{{\mathbf{C}}_{1}}\] in C, D and \[{{\mathbf{C}}_{2}}\] in A, B respectively. If \[\angle \mathbf{BDC}=\mathbf{13}{{\mathbf{0}}^{{}^\circ }}\], then the value of \[\angle \]ABP is equal to

A.  \[{{50}^{{}^\circ }}\]   
B.  \[{{80}^{{}^\circ }}\]
C.  \[{{100}^{{}^\circ }}\]        
D.  \[{{120}^{{}^\circ }}\]
Answer» B.  \[{{80}^{{}^\circ }}\]


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