Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
In quadrilateral it is given that and .
MATHEMATICS · Multi-part · CBSE · Mathematics · Circles · Circles
Problem
In quadrilateral
A
B
C
D
ABCD
A
B
C
D
it is given that
A
B
∥
C
D
AB \parallel CD
A
B
∥
C
D
and
∠
B
A
D
=
∠
B
C
D
\angle BAD = \angle BCD
∠
B
A
D
=
∠
B
C
D
. (i) Prove that
A
,
B
,
C
A,\,B,\,C
A
,
B
,
C
and
D
D
D
lie on the circumference of the same circle. (ii) If
∠
A
B
C
=
56
∘
\angle ABC = 56^\circ
∠
A
B
C
=
5
6
∘
, calculate
∠
A
D
C
\angle ADC
∠
A
D
C
.
Related theory
Cyclic Quadrilaterals
Circles
Cyclic quadrilateral properties
Browse the problem library