SOLUTION: how can i solve this problem? in triangle ABC, the angle C is six times as large as angle A. The measure of angle B is 20 greater than that of angle A. Find the measure of the an

Question 537697: how can i solve this problem?
in triangle ABC, the angle C is six times as large as angle A. The measure of angle B is 20 greater than that of angle A. Find the measure of the angles.
thanks a lot
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
in triangle ABC, the angle C is six times as large as angle A. The measure of angle B is 20 greater than that of angle A. Find the measure of the angles.
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Let Angle A be "x" degrees
Then Angle C is "6x" degrees
And Angle B is "x+20" degrees
-----------------
Equation:
x + 6x + x+20 = 180
8x = 160
x = 20 degrees (Angle A)
6x = 120 degrees (Angle C)
x+20 = 40 degrees (Angle B)
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Cheers,
Stan H.
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