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A Line Crossing Two Parallel Lines Makes Alternate Angles Equal

​
angle
3.92699
Let the line
l
intersect the parallel lines
m
and
n
at
P
and
Q
. Then the alternate angles at
P
and
Q
are equal. To see this, rotate half of the figure by 180° around the midpoint of
PQ
to make the alternate angles coincide.
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