in the adjoining figure if angle a =~ angle b and angle x=~ angle y then prove that line l parallel to line n
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Answer:
Given,
angle a = angle b.
but angle a and angle b are corresponding angels as seen in the figure.
so, line l || m. .....1
Again,
angle x = angle y
but angle x and angle y are alternate interior angles as seen in the figure.
so, line m || n..........2
since l || m and m || n ( from 1 and 2)
= l || m || n
hence, l || n
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