MathDB

In the convex quadrilateral

ABCD

, the corresponding points

M

and

N

are chosen on the adjacent sides

\overline{AB}

and

\overline{BC}

and the intersection point of the segments

AN

and

GM

is marked by 0. Prove that if circles can be inscribed in the quadrilaterals

AOCD

and

BMON

, then a circle can also be inscribed in the quadrilateral

ABCD

Problem Statement