Difference between revisions of "2022 IMO Problems/Problem 4"
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==Solution== | ==Solution== | ||
− | https://www.youtube.com/watch?v=-AII0ldyDww [Video contains solutions to all day | + | https://www.youtube.com/watch?v=-AII0ldyDww [Video contains solutions to all day 2 problems] |
Revision as of 06:47, 23 July 2022
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 2 problems]