Question

Lines Line D E and Line A B are parallel. Lines D E and A B are parallel. Angles B and D are alternate interior angles. Which angles represent alternate interior angles? angles A and C angles B and D angles C, D, and E angles B and C

Answer 1

Answer:

a. angles A and C

b. angles B and D

Step-by-step explanation:

When two lines are parallel, it implies the value of the angle between them is $180^{0}$. Thus the lines can not meet when extended continuously.

Alternate angles are two equal angles that lie on opposite sides of the transversal line. Alternate Interior Angles are a pair of equal angles on the inner side of two parallel lines.

Since lines DE and AB are parallel with alternate interior angles at B and D, then angles A and C with angles B and D are alternate interior angles.

i.e         < A = < C (alternate interior angle property)

            <B = < D (alternate interior angle property)

Answer 2

Answer:

b. angles B and D

Step-by-step explanation: