1.

P and Q are points on the opposite sides of a straight line AB. If O is a point on AB such that\[\angle \mathbf{AOP}=\angle \mathbf{BOQ}\], then which one of the following is correct?

A.  \[\angle AOQ<\angle BOP\]       
B.  \[\angle AOQ>\angle BOP\]
C.  \[\angle AOP={{180}^{{}^\circ }}-\angle AOQ\]       
D.  \[\angle AOP={{90}^{{}^\circ }}-\angle AOQ\]
Answer» D.  \[\angle AOP={{90}^{{}^\circ }}-\angle AOQ\]


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