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Mathematics
Mathematics
Problem
In quadrilateral
P
Q
R
S
PQRS
P
QR
S
,
∠
P
=
98
∘
\angle P = 98^{\circ}
∠
P
=
9
8
∘
,
∠
R
=
82
∘
\angle R = 82^{\circ}
∠
R
=
8
2
∘
and
∠
Q
=
65
∘
\angle Q = 65^{\circ}
∠
Q
=
6
5
∘
. Calculate
∠
S
\angle S
∠
S
and state, with reason, whether
P
Q
R
S
PQRS
P
QR
S
is cyclic.
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