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Bunuel

In the figure above, if lines m, n, p are parallel, what is the sum of x + y?

(A) 40
(B) 60
(C) 80
(D) 90
(E) 100

Attachment:
2017-08-01_1351_001.png
Lines m, n, and p are parallel lines that are cut by two transversals. (Extend both slanted lines to visualize.)

Alternate interior angles of parallel lines cut by a transversal are equal.

x and 40° are alternate interior angles. x = 40

y and 60° are alternate interior angles. y = 60

x + y = 100

Answer E
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Bunuel

In the figure above, if lines m, n, p are parallel, what is the sum of x + y?

(A) 40
(B) 60
(C) 80
(D) 90
(E) 100

Attachment:
2017-08-01_1351_001.png

Since lines m, n, and p are parallel, we see that x = 40 and y = 60; thus, x + y = 100.

Answer: E
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