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Durer Math Competition CD 1st Round - geometry
2017.C1
2017.C1
Part of
Durer Math Competition CD 1st Round - geometry
Problems
(1)
angle between 2 digaonals of regular 10-gon 2016-17 Dürer Round1 C1
Source:
12/9/2022
The vertices of Durer's favorite regular decagon in clockwise order:
D
1
,
D
2
,
D
3
,
.
.
.
,
D
10
D_1, D_2, D_3, . . . , D_{10}
D
1
,
D
2
,
D
3
,
...
,
D
10
. What is the angle between the diagonals
D
1
D
3
D_1D_3
D
1
D
3
and
D
2
D
5
D_2D_5
D
2
D
5
?
Durer
geometry
angles
Decagon