two lines AB and CD intersect at O. If angle AOC+COB+BOD= 270°. Find angle AOC BOD COB and DIA

two lines AB and CD intersect at O. If angle AOC+COB+BOD= 270°. Find angle AOC BOD COB and DOA
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Opposite angles are equal so AOC=BOD; angles on a straight line are complementary (add up to 180), so COB+BOD=180; AOC+DOA=180; COB=DOA. DOA=360-270=90, so COB=DOA=90; AOC=180-DOA=90 and BOD=180-COB=90. So all angles are 90 degrees.

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if 2 lines intersect they intersect at 2 different points?
asked Aug 30, 2012 in Geometry Answers by anonymous | 1.1k views
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