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3.  Draw rough diagrams of two angles such that they have

 (a) One point in common.

 (b) Two points in common.

 (c) Three points in common.

 (d) Four points in common.

 (e) One ray in common.

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(a) \angle AOB and \angle COD have point O in common.

(b) \angle AOB and \angle BOC have points O and B in common.

(c)  \angle AOB and \angle BOC have points O, D and B in common.

(d)  \angle AOB and \angle BOC have points O, D, E and B in common.

(e)  \angle AOB and \angle BOC have ray \vec{OB} in common

Note: You will find the solutions at many sites saying that the angles required in (c) and (d) is not possible but that will be the case only if it is mentioned that the common points have to be on different rays.

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