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Quadrilateral PQRS is cyclic
MATHEMATICS · Multi-part · CBSE · Mathematics · Circles · Circles
Problem
Quadrilateral PQRS is cyclic.
∠
P
=
(
3
x
+
5
)
∘
\angle P = (3x + 5)^{\circ}
∠
P
=
(
3
x
+
5
)
∘
and
∠
R
=
(
5
x
−
25
)
∘
\angle R = (5x - 25)^{\circ}
∠
R
=
(
5
x
−
25
)
∘
. (i) Find the value of
x
x
x
. (ii) Find
∠
P
\angle P
∠
P
. (iii) Find
∠
R
\angle R
∠
R
.
Related theory
Cyclic Quadrilaterals
Circles
Cyclic quadrilateral properties
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