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National and Regional Contests
Canada Contests
Canada National Olympiad
1987 Canada National Olympiad
3
3
Part of
1987 Canada National Olympiad
Problems
(1)
Find the angles of the parallelogram [Canada 1987 - P3]
Source:
9/30/2011
Suppose
A
B
C
D
ABCD
A
BC
D
is a parallelogram and
E
E
E
is a point between
B
B
B
and
C
C
C
on the line
B
C
BC
BC
. If the triangles
D
E
C
DEC
D
EC
,
B
E
D
BED
BE
D
and
B
A
D
BAD
B
A
D
are isosceles what are the possible values for the angle
D
A
B
DAB
D
A
B
?
geometry
parallelogram