If two lines are intersected by third line and the alternate interior angles so formed are equal. Then the lines arelines

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Solution

If two lines are intersected by the third line and the alternate interior angles so formed are equal to each other then those two lines are Parallel Lines.
Here, $∠ 1 = ∠ 2 & ∠ 3 = ∠ 4$

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If two parallel lines are intersected by a transversal, then alternate interior angles are equal.

Which of the following statements are true (I) and which are false (F)? Give reasons.
(i) If two lines are intersected by a transversal, then corresponding angles are equal.
(ii) If two parallel lines are intersected by a transversal, then alternate interior angles are equal.
(iii) Two lines perpendicular to the same line are perpendicular to each other.
(iv) Two lines parallel to the same line are parallel to each other.
(v) If two parallel lines are intersected by a transversal, then the interior angles on the same side of the transversal are equal.

If two parallel lines are intersected by a transversal then, pair of alternate interior angles are:

Q. Alternate interior angles are angles formed when two parallel or non-parallel lines are intersected by a transversal.

Q. If alternate interior angles are equal, transversal intersects parallel lines.

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If two lines are intersected by third line and the alternate interior angles so formed are equal. Then the lines arelines

If two lines are intersected by the third line and the alternate interior angles so formed are equal to each other then those two lines are Parallel Lines. Here, ∠1=∠2 & ∠3=∠4

If two lines are intersected by the third line and the alternate interior angles so formed are equal to each other then those two lines are Parallel Lines.
Here, $∠ 1 = ∠ 2 & ∠ 3 = ∠ 4$