Algorithm for intersection of two lines

Find the point of intersection of two lines by substitution and cross multiplication method

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 :

From Figure,name All pairs of parallel lines. all pairs of intersecting lines.lines of whose point of intersection in P lines whose point of intersection in C lines whose point of intersection in R collinear points.

Form Fig.,write all pairs of parallel lines.all pairs of intersection lines.lines whose point of intersection is l. lines whose point of intersection is D .lines whose point of intersection is E .lines whose point of intersection is A. collinear points

Remarks It should be noted that if two lines are not parallel then they intersect.Thus two lines in a plane are either parallel or intersecting.

Intersection of two lines in cartesian form and vector form