Question

Lines l and m are parallel lines cut by the transversal line t. Which angle is congruent to ∠1?

Answer 1

Option D

Explanation:

if two parallel lines are cut by a transversal, then the alternate exterior angles are congruent, which leaves you with D.

Answer 2

Option C

Explanation:

Line 'l' and 'm' are parallel and a transversal line 't' intersects these lines.

∠1 ≅ ∠4 [Vertically opposite angles]

∠1 ≅ ∠5 [Corresponding angles]

∠1 ≅ ∠8 [Alternate exterior angles]

∠1 ≠ ∠6 [No property of the congruence is followed]

Option C will be the correct option.