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Mathematics
Mathematics
Problem
In quadrilateral
P
Q
R
S
PQRS
P
QR
S
, chord
P
Q
PQ
P
Q
subtends equal angles at points
R
R
R
and
S
S
S
on its same side. If
∠
P
R
S
=
(
7
x
+
9
)
∘
\angle PRS = (7x + 9)^{\circ}
∠
P
R
S
=
(
7
x
+
9
)
∘
and
∠
P
Q
S
=
(
5
x
+
21
)
∘
\angle PQS = (5x + 21)^{\circ}
∠
P
QS
=
(
5
x
+
21
)
∘
, then the value of
x
x
x
is a) 12 b) 5 c) 6 d) 15
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