Math, asked by suresh3326, 6 hours ago

In fig. pair of alternate interior angles are

Answers

Answered by anshmishradps09
0

Answer:

The term alternate interior angles is often used when two lines are cut by a third line, a transversal . The Alternate Interior Angles Theorem states that if k and l are parallel , then the pairs of alternate interior angles are congruent . That is, ∠2≅∠8 and ∠3≅∠5 .

Step-by-step explanation:

Alternate Interior Angles

The term alternate interior angles is often used when two lines are cut by a third line, a transversal .

Two parallel lines cut by a transversal n, with angles labeled 1 through 8

In the figure above, line t is a transversal cutting lines k and l , and there are two pairs of alternate interior angles:

∠2 and ∠8

∠3 and ∠5

The Alternate Interior Angles Theorem states that if k and l are parallel , then the pairs of alternate interior angles are congruent . That is,

∠2≅∠8 and ∠3≅∠5 .

The converse of this theorem is also true.

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