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Quadrilateral is constructed so that and .
MATHEMATICS · Multi-part · CBSE · Mathematics · Circles · Circles
Problem
Quadrilateral
A
B
C
D
ABCD
A
B
C
D
is constructed so that
A
B
⊥
B
C
AB \perp BC
A
B
⊥
B
C
and
A
D
⊥
D
C
AD \perp DC
A
D
⊥
D
C
. (i) Prove that
A
B
C
D
ABCD
A
B
C
D
is a cyclic quadrilateral. (ii) If
∠
B
A
D
=
37
∘
\angle BAD = 37^\circ
∠
B
A
D
=
3
7
∘
, find the value of
∠
B
C
D
\angle BCD
∠
B
C
D
with full justification.
Related theory
Cyclic Quadrilaterals
Circles
Cyclic quadrilateral properties
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