The angles of a quadrilateral measure x degrees, (x+30) degrees, (x+40) degrees and 170 degrees. What is the measure of the smallest angle?

asked Mar 11, 2016 131k views

5 votes

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5 votes

$x+x+30+x+40+170=360\\ 3x=120\\ x=40$

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x + (x + 30) + (x + 40) + 170 = 360
x + x + x + 30 + 40 + 170 = 360
3x + 240 = 360
-240 -240
3x = 120
3 3
x = 40

Cburgmer answered Mar 15, 2016

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