Question

If ∠ ≅ ∠ then prove that line l ǁ line m.​

Answer 1

Answer:

Given :-

/_a = /_b

To prove :- Line l || Line m.

Proof :-

Consider an angle vertically opposite to /_a as

/_x.

Similarly consider another angle vertically opposite to /_b as /_y.

/_x = /_y ..........{Alternate interior angles}

Hence, Line l || Line m

.........{Alternate interior angle test}

Hence proved.

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