Question 104
A quadrilateral $ABCD$ is inscribed into a circle with diameter $AC$. Let $K$ and $M$ be respectively the projects of $A$ and $C$ onto the line $BD$. Point $P$ is chosen on $AC$ so that $PK \parallel BC$. prove that $\angle KPM = 90^\circ$. (t. emelyanova) quadrilateral $ABCD$ inscribed in a circle with a diameter $AC$. points $K$ and $M$ - projections of vertices $A$ and $C$ respectively directly $BD$. Through the point $K$ A straight line is drawn $BC$ and crossing $AC$ at the point $P$. Prove that the angle $KPM$ - Direct. (T. Emelyanova)