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Mathematics
Problem
In a cyclic quadrilateral
P
Q
R
S
PQRS
P
QR
S
, the angles are given by:
∠
P
=
(
3
x
+
5
)
∘
\angle P = (3x+5)^{\circ}
∠
P
=
(
3
x
+
5
)
∘
,
∠
Q
=
(
2
x
+
15
)
∘
\angle Q = (2x+15)^{\circ}
∠
Q
=
(
2
x
+
15
)
∘
,
∠
R
=
(
5
x
−
25
)
∘
\angle R = (5x-25)^{\circ}
∠
R
=
(
5
x
−
25
)
∘
. Determine: (a) the value of
x
x
x
, (b) the measures of all four angles of the quadrilateral. a. (a) Value of
x
x
x
b. (b) Measures of
∠
P
,
∠
Q
,
∠
R
,
∠
S
\angle P,\;\angle Q,\;\angle R,\;\angle S
∠
P
,
∠
Q
,
∠
R
,
∠
S
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