A) \[{{77}^{{}^\circ }}\]
B) \[{{80}^{{}^\circ }}\]
C) \[{{85}^{{}^\circ }}\]
D) \[{{90}^{{}^\circ }}\]
Correct Answer: B
Solution :
(b):- Since, \[\angle ADB=\frac{1}{2}\angle AOB={{55}^{{}^\circ }}\] In \[\Delta DPA,\angle DAP+\angle ADP+\angle DPA={{180}^{{}^\circ }}\] \[\Rightarrow \]\[{{25}^{{}^\circ }}+{{55}^{{}^\circ }}+\angle DPA={{180}^{{}^\circ }}\Rightarrow \angle DPA={{100}^{{}^\circ }}\] Also, DPB be a straight line. \[\angle DPA+\angle APB={{180}^{{}^\circ }}\] \[\Rightarrow \angle APB={{180}^{{}^\circ }}-{{100}^{{}^\circ }}={{80}^{{}^\circ }}\]You need to login to perform this action.
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