MathDB

2012-2013 Winter OMO #16

Source:

January 16, 2013

Online Math Opengeometrycircumcircle

Problem Statement

Let

S_1

and

S_2

be two circles intersecting at points

A

and

B

. Let

C

and

D

be points on

S_1

and

S_2

respectively such that line

CD

is tangent to both circles and

A

is closer to line

CD

than

B

. If

\angle BCA = 52^\circ

and

\angle BDA = 32^\circ

, determine the degree measure of

\angle CBD

.
Ray Li

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