
Unique Circle Equal Angles
Problem
Triangles ABC and ABD share the base AB.

Prove that a unique circle passes through all four points A, B, C, and D, iff (if and only if) α = β.
Problem ID: 249 (27 Nov 2005) Difficulty: 3 Star

Triangles ABC and ABD share the base AB.

Prove that a unique circle passes through all four points A, B, C, and D, iff (if and only if) α = β.