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7
Math Prize 2022 Problem 7
Math Prize 2022 Problem 7
Source:
October 12, 2022
Problem Statement
The quadrilateral
A
B
C
D
ABCD
A
BC
D
is an isosceles trapezoid with
A
B
=
C
D
=
1
AB = CD = 1
A
B
=
C
D
=
1
,
B
C
=
2
BC = 2
BC
=
2
, and
D
A
=
1
+
3
DA = 1+ \sqrt{3}
D
A
=
1
+
3
. What is the measure of
∠
A
C
D
\angle ACD
∠
A
C
D
in degrees?
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