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Durer Math Competition
Durer Math Competition CD 1st Round - geometry
2023.C7
2023.C7
Part of
Durer Math Competition CD 1st Round - geometry
Problems
(1)
angle in regular pentagon 2022-23 Dürer Round1 C7 D6
Source:
5/25/2024
Let
A
B
C
D
E
ABCDE
A
BC
D
E
be a regular pentagon. We drew two circles around
A
A
A
and
B
B
B
with radius
A
B
AB
A
B
. Let
F
F
F
mark the intersection of the two circles that is inside the pentagon. Let
G
G
G
mark the intersection of lines
E
F
EF
EF
and
A
D
AD
A
D
. What is the degree measure of angle
A
G
E
AGE
A
GE
?
geometry
pentagon
angles