×

# SAT Parallel Lines



In the figure above, $$m \parallel n.$$ If $$\overline{CB}$$ bisects $$\angle ACD,$$ and $$a = 28^\circ,$$ what is the value of $$b?$$

(A) $$\ \ 14$$
(B) $$\ \ 28$$
(C) $$\ \ 76$$
(D) $$\ \ 90$$
(E) $$\ \ 104$$



If $$m \parallel n$$ and $$w = 40,$$ what is the value of $$x + y + z?$$

(A) $$\ \ 40$$
(B) $$\ \ 80$$
(C) $$\ \ 180$$
(D) $$\ \ 220$$
(E) $$\ \ 260$$



In the figure above, line $$p$$ is perpendicular to line $$m.$$ If $$a < 90,$$ which of the following could be true?

(A) $$\ \ b = 80$$
(B) $$\ \ b = 90$$
(C) $$\ \ b = 100$$
(D) $$\ \ a = b$$
(E) $$\ \ n \parallel m$$



In the figure above, $$a \parallel b$$ and $$c \parallel d.$$ If $$w = 100^\circ,$$ what is the sum of $$x, y,$$ and $$z?$$

(A) $$\ \ 20$$
(B) $$\ \ 180$$
(C) $$\ \ 200$$
(D) $$\ \ 280$$
(E) $$\ \ 220$$



In the figure above, $$m \parallel n$$. If $$a = 115$$ and $$b = 140,$$ which of the following equals $$y-x?$$

(A) $$\ \ 0$$
(B) $$\ \ 25$$
(C) $$\ \ 115$$
(D) $$\ \ 140$$
(E) $$\ \ 255$$

×