Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let AB be a line segment. Points C and D are on the same side of AB with
∠
A
C
B
=
2
x
∘
\angle ACB = 2x^\circ
∠
A
C
B
=
2
x
∘
and
∠
A
D
B
=
5
x
−
45
∘
\angle ADB = 5x - 45^\circ
∠
A
D
B
=
5
x
−
4
5
∘
. If A, B, C and D are concyclic, find the value of
x
x
x
.
Browse the problem library