Bunuel wrote:

In the figure above, n is perpendicular to m, and p is parallel to q. What is the value of x + y + z?

(A) 180

(B) 220

(C) 230

(D) 270

(E) 310

Attachment:

2017-08-08_1257.png

It should be

Dx:\(\angle 110\) and \(\angle x\) are opposite angles so this makes \(\angle x = 110\)

y:\(\angle y = 90 = 180\) which means

\(\angle y = 90\)

z:\(\angle x + \angle z = 180\)

we already know \(\angle x = 110\)

This makes

\(\angle z = 70\)

\(\angle x + \angle y + \angle z = 110 + 90 + 70 = 270\)

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