question_answer

If\[OP\]is a ray standing on a line\[QR\]such that\[\angle POQ=\angle POR\], what is the measure of\[\angle POQ\]

A) \[{{45}^{o}}\]                        

B) \[{{60}^{o}}\]            

C) \[{{75}^{o}}\]            

D)        \[{{90}^{o}}\]

Correct Answer: D

Solution :

Given OP is a ray on line QR, and \[\angle POQ=\angle PQR\]                                 ?(i) \[\Rightarrow \]\[\angle POQ=\angle POR={{90}^{o}}\] Since, \[\angle POQ+\angle POR={{180}^{o}}\]