OPTIONS:
A. Lines r and s are parallel.
B. Lines r and t are parallel.
C. Lines r and w are parallel.
D. Lines s and w are parallel
*See diagram in the attachment below
Answer:
B. Lines r and t are parallel.
Explanation:
105° lies outside of line r when line m cuts across line r. The adjacent angle that forms a linear pair with 105° would be:
180° - 105° = 75°
Thus, the angle formed outside line t when line m cuts across line t is also equal to 75°.
75° at line t is a matching corner with the 75° at line r. Therefore, lines r and t are parallel.