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National and Regional Contests
Russia Contests
Novosibirsk Oral Olympiad in Geometry
2016 Novosibirsk Oral Olympiad in Geometry
3
3
Part of
2016 Novosibirsk Oral Olympiad in Geometry
Problems
(1)
angle wanted, AQ:QC = 3:1, square grid (2016 Novosibirsk Oral Geo Oly 8-9 p3)
Source:
4/26/2021
A square is drawn on a sheet of grid paper on the sides of the cells
A
B
C
D
ABCD
A
BC
D
with side
8
8
8
. Point
E
E
E
is the midpoint of side
B
C
BC
BC
,
Q
Q
Q
is such a point on the diagonal
A
C
AC
A
C
such that
A
Q
:
Q
C
=
3
:
1
AQ: QC = 3: 1
A
Q
:
QC
=
3
:
1
. Find the angle between straight lines
A
E
AE
A
E
and
D
Q
DQ
D
Q
.
geometry
angles
square