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put this solution on YOUR website! one angle of a triangle is 30 degrees larger than the smallest angle, and the third angle is four times as large as the smallest angle. find the angle of the smallest angle
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First, we know that for any triangle, the sum of the interior angles is 180.
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Let x = smallest angle (angle two)
then from: "one angle of a triangle is 30 degrees larger than the smallest angle"
x+30 = angle one
and from: "the third angle is four times as large as the smallest angle"
4x = angle three
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x + x+30 + 4x = 180
30 + 6x = 180
6x = 150
x = 25 degrees (smallest angle)
