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Mathematics
Mathematics
Problem
In a circle, chord
M
N
MN
M
N
subtends angles
∠
M
O
N
\angle MON
∠
M
O
N
and
∠
M
P
N
\angle MPN
∠
M
P
N
at two distinct points
O
O
O
and
P
P
P
on the same segment. If
∠
M
O
N
=
5
x
∘
\angle MON = 5x^{\circ}
∠
M
O
N
=
5
x
∘
and
∠
M
P
N
=
55
∘
\angle MPN = 55^{\circ}
∠
M
P
N
=
5
5
∘
, find the value of
x
x
x
.
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