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Lusophon Mathematical Olympiad
2023 Lusophon Mathematical Olympiad
5
5
Part of
2023 Lusophon Mathematical Olympiad
Problems
(1)
Regular hexagon, determine XAY
Source: Lusophon Mathematical Olympiad 2023 Problem 5
5/27/2023
Let
A
B
C
D
E
F
ABCDEF
A
BC
D
EF
be a regular hexagon with side 1. Point
X
,
Y
X, Y
X
,
Y
are on sides
C
D
CD
C
D
and
D
E
DE
D
E
respectively, such that the perimeter of
D
X
Y
DXY
D
X
Y
is
2
2
2
. Determine
∠
X
A
Y
\angle XAY
∠
X
A
Y
.
geometry
perimeter