DS - Geometry Set 1, Math 22 : DS Archive
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DS - Geometry Set 1, Math 22

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DS - Geometry Set 1, Math 22 [#permalink]

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02 Sep 2007, 08:20
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02 Sep 2007, 08:33
w = 95 so the angle adjacent to w is 180-95 = 85.

Z is 125 so the angle adjacent to z is 180-125 = 55 (this is the angle inside the quadrilateral.

So we now have two angles inside the quadrilateral = 85 + 55 = 140.

Since all the four sum up to 360, the sum of other two sides should be 360-140= 220.

but the sum of other two sides is (180-x) + (180 - y)

so we have 360 - (x + y ) = 220
or x + y = 140

so both statements together are sufficient to get the answer
02 Sep 2007, 08:33
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