Question

Parallel line angles (transformation) prove it

Answer 1

Transversal line :

A transversal line is one that crosses two or more lines at different points.

Transversal Properties :

• Each pair of corresponding angles when a transversal cuts two parallel lines are equal in size.
• Each pair of alternate interior angles created by a transversal when two parallel lines are cut are equal.
• If two parallel lines are cut by a transversal, then each pair of interior angles on the same side of the transversal are supplementary, i.e. they add up to 180 degrees

    Each pair of corresponding angles when a transversal intersects two parallel lines is equal. Thus,

∠1 = ∠6

∠4 = ∠8

∠2 = ∠5

∠3 = ∠7  

Each alternate interior angle pair is equal if a transversal intersects two parallel lines.

∠4 = ∠5

∠3 = ∠6

Hence, proved..

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