Line m intersects lines r, s,t, and w. Based on the given angles, which statement must be true?

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

B. Lines r and t are parallel.

Step-by-step 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.

after simplifying it i got: -36.25 as my answer. hope that !

180-142=38 for the acute angle next to the entry

90+38=128

180-128=52

a=52

step-by-step explanation: