Question

Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none.

Answer 1

Line AD is par. to line BC

Answer 2

Option A. AB || DC

Explanation:

In the given picture measurement of angle 2 = measurement of angle A

or m∠2 = m∠A (opposite angles)

This only possible only when m∠A = m∠2 = m∠C (Corresponding angles)

If these angles are equal then two lines AB and DC are parallel and two transverse AB and DC are intersecting them.

Therefore option A. AB || DC is the answer.