2022 IMO Problems/Problem 4
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Problem
Let be a convex pentagon such that
. Assume that there is a
point
inside
with
,
and
. Let line
intersect
lines
and
at points
and
, respectively. Assume that the points
occur on their
line in that order. Let line
intersect lines
and
at points
and
, respectively. Assume
that the points
occur on their line in that order. Prove that the points
lie on
a circle.
Solution
https://www.youtube.com/watch?v=-AII0ldyDww [Video contains solutions to all day 1 problems]