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Mathematics
Problem
In a cyclic quadrilateral
P
Q
R
S
PQRS
P
QR
S
, the angles are given by
∠
P
=
(
2
x
+
10
)
∘
,
∠
R
=
(
x
+
20
)
∘
,
∠
Q
=
(
3
y
−
10
)
∘
,
∠
S
=
(
2
y
−
20
)
∘
.
\angle P=(2x+10)^\circ,\;\angle R=(x+20)^\circ,\;\angle Q=(3y-10)^\circ,\;\angle S=(2y-20)^\circ.
∠
P
=
(
2
x
+
10
)
∘
,
∠
R
=
(
x
+
20
)
∘
,
∠
Q
=
(
3
y
−
10
)
∘
,
∠
S
=
(
2
y
−
20
)
∘
.
Which ordered pair
(
x
,
y
)
(x,\,y)
(
x
,
y
)
satisfies these conditions? a)
(
40
,
35
)
(40,\,35)
(
40
,
35
)
b)
(
45
,
45
)
(45,\,45)
(
45
,
45
)
c)
(
50
,
42
)
(50,\,42)
(
50
,
42
)
d)
(
50
,
35
)
(50,\,35)
(
50
,
35
)
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