MathDB

Problem 2 Day 2

Source: 2011 Armenian Republican Olympiad

August 1, 2016

geometry

Problem Statement

A quadrilateral

ABCD

is such that

\angle A= \angle C=60^o

and

\angle B=100^o

. Let

O_1

and

O_2

be the centers of the incircles of triangles

ABD

and

CBD

respectively. Find the angle between the lines

AO_2

and

CO_1

.

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