
One angle of a triangle is three times as large as another. the measure of the third angle is 65 degrees more than that of the smallest angle. find the measure of each angle.
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Let the smaller angle be x. smaller = x larger = 3x known angle = 65° All angles add up t10 180: x + 3x + 65 = 180 4x + 65 = 180 4x = 115 x = 28.75 Smaller angle = 28.75 Larger angle = 86.25 Answer: The angles are 28.75° and 86.25°