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<MNA=<MNB wanted, intersecting circles related

Source: Moldova JBMO TST 2002 3.2

July 10, 2020

geometryequal anglescirclesangles

Problem Statement

The circles

C_1

and

C_2

intersect at the distinct points

M

and

N

. Points

A

and

B

belong respectively to the circles

C_1

and

C_2

so that the chords

[MA]

and

[MB]

are tangent at point

M

to the circles

C_2

and

C_1

, respectively. To prove it that the angles

\angle MNA

and

\angle MNB

are equal.

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