question_answer

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)         \[{{45}^{o}}\]

Correct Answer: C

Solution :

 The given steps of construction are to construct an angle of \[{{120}^{o}}\].