Draw a rough diagram of two angles such that they have three points in common.

Hint- Whenever we have to draw a diagram of two angles with common points just use the given statement like how many points in the angles must be common.

Complete step-by-step answer:

Let us have two different angles namely $\angle AOB\& \angle DOC$.

When we combine both the angles in one over one another as shown in the figure below:

Then the overall figure has some common points between the two angles.
There are two separate angles $\angle AOB\& \angle DOC$ combined together and a total of five points namely
$A,B,C,D,O$
And as shown in the figure three points $B,D\& O$ are common between both of the angles.
Hence, as shown above we have two angles with three common points.

Note- In such problems which require solution with figure, draw the figure from basic and then combine altogether. There can be other solutions as well for the above question. The combined figure can also be drawn in an upside down position or the combination in the opposite direction. All such solutions are correct till it fulfills the requirements of the question.