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4
2019 Geometry # 4
2019 Geometry # 4
Source:
September 10, 2023
geometry
2019
Problem Statement
Suppose
Z
,
Y
Z, Y
Z
,
Y
, and
W
W
W
are points on a circle such that lengths
Z
Y
=
Y
W
ZY = Y W
Z
Y
=
YW
. Extend
Z
Y
ZY
Z
Y
and let
X
X
X
be a point on
Z
Y
ZY
Z
Y
where
Z
Y
=
Y
X
ZY = Y X
Z
Y
=
Y
X
. If
X
W
XW
X
W
is a tangent of the circle, what is
∠
W
X
Y
\angle W XY
∠
W
X
Y
?
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