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Problem Solving (PS) | Re: In the figure above, p + q =

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Bunuel wrote:

Image
In the figure above, p + q =

(A) 100
(B) 145
(C) 165
(D) 195
(E) 215

[Reveal] Spoiler:



Since the sum of all the exterior angles of a polygon is 360, we note that 115, p, and q are measures of three of the four exterior angles of the quadrilateral, while the last exterior angle measures 180 - 80 = 100 degrees. We can now set up the following equation:

115 + p + q + 100 = 360

215 + p + q = 360

p
...

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