Study the steps of construction given. Step1: Draw a ray OA. Step2: With O as centre and any convenient radius draw an arc MN to cut \[\overrightarrow{OA}\] at M. Step3: With M as centre and the same radius draw an arc to cut MN at P. Step4: With P as centre and the same radius, draw an arc to cut MN at Q. Step5: Draw OQ and produce it to D. An angle AOD is constructed. What is the measure of \[\angle AOD\]?

• A.  \[{{60}^{o}}\]                   
• B.         \[{{30}^{o}}\]
• C.  \[{{120}^{o}}\]                  
• D.         \[{{45}^{o}}\]