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Mathematics
Problem
In quadrilateral
P
Q
R
S
PQRS
P
QR
S
, it is given that
∠
P
Q
S
=
∠
P
R
S
\angle PQS = \angle PRS
∠
P
QS
=
∠
P
R
S
. Which one of the following must be true? a)
P
Q
=
P
R
PQ = PR
P
Q
=
P
R
b)
∠
P
Q
R
+
∠
P
S
R
=
180
∘
\angle PQR + \angle PSR = 180^{\circ}
∠
P
QR
+
∠
P
S
R
=
18
0
∘
c) P,Q,R,S lie on a circle d)
△
P
Q
S
is right-angled at
Q
\triangle PQS \text{ is right-angled at } Q
△
P
QS
is right-angled at
Q
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