Algorithm for intersection of two lines

(2, 1) is the points of intersection of two lines

A circle (with centre at O) is touching two intersecting lines AX and BY. The two points of contact A and B subtend an angle of 65^(@) at any point C on the circumference of the circle. If P is the point of intersection for the two lines, then the measure of angle APO is :

Find the number of point of intersection of two straight lines .

The intersection of two straight lines gives us………

Fill in the Blanks : A line which intersects other two lines at two distinct points is called ___.