Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact. Using above result , prove the following:
In figure , XZ touches the circle with centre O at Y. Diameter BA when produced meets XZ at X . Given
∠BXY=b and
∠AYX=a, then prove that
b+2a=90∘![1180514_0d678b90832f452391883bbb6ce2852f.JPG](https://search-static.byjusweb.com/question-images/toppr_invalid/questions/1180514_0d678b90832f452391883bbb6ce2852f.JPG)