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angle chasing in Mumbai

Source: CRMO 2012 region 5 p7 Mumbai

September 30, 2018

geometryAngle Chasingcircleangles

Problem Statement

On the extension of chord

AB

of a circle centroid at

O

a point

X

is taken and tangents

XC

and

XD

to the circle are drawn from it with

C

and

D

lying on the circle, let

E

be the midpoint of the line segment

CD

. If

\angle OEB = 140^o

then determine with proof the magnitude of

\angle AOB

.

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