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property :-
if two lines are cut by a transversal and corresponding angles are congruent then the lines are parallel .
Step-by-step explanation:
here
angle 1 = 60
then angle 2 = (180 - angle 1)
= 180 - 60
= 120
and
angle 6 = 120
then angle 5 = (180 - angle 6)
= 180 - 120
= 60
1. angle 1 = angle 3= 60
2. angle 2 = angle 4= 120
3.angle 6 = angle 8 =120
4.angle 5 = angle 7 = 60
above angles are vertically opposite angles .
now
1 and 5 are congruent
2 and 6 are congruent
3 and 7 are congruent
4 and 8 are congruent
as shown in figure .
so these two lines are parallel
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