Question

The angle between a tangent and chord through the point of contact is equal to an angle in the alternate segment.
Can Someone Explain This.​

Answer 1

Step-by-step explanation:

The alternate segment theorem (also known as the tangent-chord theorem) states that in any circle, the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment.

In the above diagram, the angles of the same color are equal to each other. For easily spotting this property of a circle, look out for a triangle with one of its vertices resting on the point of contact of the tangent to the circle. In this wiki we will be learning this theorem in detail along with proofs and its applications in several arenas with the help of examples.

Hope this will help