Question

If two parallel lines are cut by a transversal, then:

• A. each pair of alternate angles are equal
• B. each pair of alternate angles add up to ${180}^o$
• C. each pair of corresponding angles add up to ${180}^o$.
• D. each pair of corresponding angles is equal.

Answer 1

Answer: (A), (D)

The correct options are
A

each pair of alternate angles are equal

D

each pair of corresponding angles is equal.

If two parallel lines are cut by a transversal, then

(i) each pair of alternate angles are equal;

(ii) each pair of corresponding angles is equal.

But these two are not independent statements.This can easily be proved by assuming the other and using propositions.