Question

if two lines containing chords intersect outside the circle then measure of angle between them is half the difference in measure of arc intercepted by angle o is the centre of circle .line ab and line cd intersect point e . to find angle aec =1/2 m(arc ac ) _m(arc bd)

Answer 1

YOU CAN APPLY THE THEOREM BY THIS UNDERSTANDING

It is a little easier to see this in the diagram on the right. Each chord is cut into two segments at the point of where they intersect. One chord is cut into two line segments A and B. The other into the segments C and D.

This theorem states that A×B is always equal to C×D no matter where the chords are.

In the figure below, drag the orange dots around to reposition the chords. As long as they intersect inside the circle, you can see from the calculations that the theorem is always true. The two products are always the same.