Problem
GEO-B2-M08-P003 Angle on a Circle
#3
★★☆☆☆ Level 2 of 5
Points \(A,B,E,M\) lie on one circle. Prove that \(\angle BME=\angle BAE\).
Both angles subtend chord \(BE\).
Inscribed angles subtending the same chord \(BE\) are equal. Therefore \(\angle BME=\angle BAE\).
A small step used constantly in the proof of Miquel's theorem.