Let Γ be a circle, P be a point outside it, and A and B the intersection points between Γ and the tangents from P to Γ. Let K be a point on the line AB, distinct from A and B and let T be the second intersection point of Γ and the circumcircle of the triangle PBK.Also, let P′ be the reflection of P in point A.
Show that ∠PBT=∠P′KA geometrycircumcirclegeometric transformationreflectionPAMO