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April 25, 2023, 9:43 a.m. (1 year, 12 months)
Let

,

,

,

,

be points such that

is a cyclic quadrilateral and

is a parallelogram. The diagonals

and

intersect at

and the rays

and

intersect at

. Prove that

.
%V0
Let $A$, $B$, $C$, $D$, $E$ be points such that $ABCD$ is a cyclic quadrilateral and $ABDE$ is a parallelogram. The diagonals $AC$ and $BD$ intersect at $S$ and the rays $AB$ and $DC$ intersect at $F$. Prove that $\sphericalangle{AFS}=\sphericalangle{ECD}$.
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April 27, 2023, 9:03 p.m. | matsimic | Netočno |