Answer:
(C) Alternate interior angles are congruent.
Explanation:
Given: Lines A and B are parallel lines and C and D are transversals.
To prove: ZX + LY + 2Z = 180°
Proof:
Statement
Reason
1. Lines A and B are parallel lines;
Given
C and D are transversals
2.Alternate
interior angles
3.Alternate
interior angles
4.2X+24+26=180°
Straight line
property
5. Substitution
property
Hence proved.
Therefore, option C is correct.