1.

In the given figure below, the external bisector of \[\angle \mathbf{B}\] and \[\angle C\] of \[\Delta \mathbf{ABC}\] (where AB and AC extended to E and F respectively) meet at point P. If \[\angle \mathbf{BAC}=\mathbf{12}{{\mathbf{0}}^{{}^\circ }}\], then the measure of \[\angle \mathbf{BPC}\] is

A. \[{{50}^{{}^\circ }}\]
B. \[{{80}^{{}^\circ }}\]
C. \[{{30}^{{}^\circ }}\]
D. \[{{100}^{{}^\circ }}\]
Answer» D. \[{{100}^{{}^\circ }}\]


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