Question

If a transversal intersects two parallel lines, then prove that each pair of alternate interior angles are equal.
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Answer 1

Answer:

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Step-by-step explanation:

Theorem: When a transversal intersects two parallel lines, each pair of alternate interior angles is equal. ... Theorem: If a transversal intersects two parallel lines, then each pair of co-interior angles is supplementary (their sum is 1800).

\(\angle 1\) = \(\angle 5\) (corresponding angles)

\(\angle 5\) + \(\angle4\) = 1800 (linear pair)

è \(\angle 1\) + \(\angle4\) = 1800

Similarly, we can show that

\(\angle 2\) + \(\angle 3\) = 1800

The converse part of the proof is left to you as an exercise.

Answer 2

Answer:

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