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In a cyclic quadrilateral
MATHEMATICS · Multi-part · CBSE · Mathematics · Circles · Circles
Problem
In a cyclic quadrilateral
P
Q
R
S
PQRS
P
QR
S
, three of the interior angles are given as
∠
P
=
70
∘
,
∠
Q
=
95
∘
\angle P = 70^\circ,\; \angle Q = 95^\circ
∠
P
=
7
0
∘
,
∠
Q
=
9
5
∘
and
∠
R
=
110
∘
\angle R = 110^\circ
∠
R
=
11
0
∘
. (i) Find the measure of
∠
S
\angle S
∠
S
. (ii) Verify that the sum of each pair of opposite angles of
P
Q
R
S
PQRS
P
QR
S
is
180
∘
180^\circ
18
0
∘
.
Related theory
Cyclic Quadrilaterals
Circles
Cyclic quadrilateral properties
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