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Mathematics
Problem
Lines
E
F
EF
E
F
and
G
H
GH
G
H
intersect at
O
O
O
. The four angles around
O
O
O
are given by
∠
E
O
G
=
(
6
y
−
4
)
∘
\angle EOG = (6y - 4)^{\circ}
∠
E
O
G
=
(
6
y
−
4
)
∘
,
∠
G
O
F
=
(
7
y
−
6
)
∘
\angle GOF = (7y - 6)^{\circ}
∠
GO
F
=
(
7
y
−
6
)
∘
,
∠
F
O
H
=
(
3
y
+
20
)
∘
\angle FOH = (3y + 20)^{\circ}
∠
F
O
H
=
(
3
y
+
20
)
∘
, and
∠
H
O
E
=
(
5
y
+
10
)
∘
\angle HOE = (5y + 10)^{\circ}
∠
H
O
E
=
(
5
y
+
10
)
∘
. Find the value of
y
y
y
. a)
6
6
6
b)
8
8
8
c)
7
7
7
d)
9
9
9
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