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Mathematics
Mathematics
Problem
In a circle, chord
X
Y
XY
X
Y
subtends angles at two points
M
M
M
and
N
N
N
on the same segment. If
∠
X
M
Y
=
3
x
−
5
∘
\angle XMY = 3x - 5^{\circ}
∠
X
M
Y
=
3
x
−
5
∘
and
∠
X
N
Y
=
2
x
+
25
∘
\angle XNY = 2x + 25^{\circ}
∠
X
N
Y
=
2
x
+
2
5
∘
, determine the value of
x
x
x
and hence find the measure of each of these angles.
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