Homework Help: geometry

Posted by ahmad on Monday, October 17, 2011 at 9:38am.

if a measure of an angle is -2x^2+19x and the measure of it's supplement is 4x^2-6 what's the measure of angle and supplement

geometry - Steve, Monday, October 17, 2011 at 2:35pm
If you know what a supplement is, this should be no trouble.

(-2x^2 + 19x) + (4x^2 - 6) = 180

2x^2 + 19x - 186 = 0
(x-6)(2x+31) = 0
x = 6

The two angles are 42° and 138°

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