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Mathematics
Mathematics
Problem
Two tangents
P
A
PA
P
A
and
P
B
PB
P
B
are drawn to a circle. A point
M
M
M
is chosen on the major arc
A
B
AB
A
B
such that
∠
A
M
B
\angle AMB
∠
A
M
B
is
50
∘
50^{\circ}
5
0
∘
. Find the angle
∠
A
P
B
\angle APB
∠
A
P
B
between the tangents.
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