MathDB

7

Part of 2012 India Regional Mathematical Olympiad

Problems(1)

angle chasing in Mumbai

Source: CRMO 2012 region 5 p7 Mumbai

9/30/2018
On the extension of chord ABAB of a circle centroid at OO a point XX is taken and tangents XCXC and XDXD to the circle are drawn from it with CC and DD lying on the circle, let EE be the midpoint of the line segment CDCD. If ∠OEB=140o\angle OEB = 140^o then determine with proof the magnitude of ∠AOB\angle AOB.
geometryAngle Chasingcircleangles