SOLUTION: In a triangle, the measure of the second angle is twice the measure of the first angle. The third angle is equal to the sum of the other angles. What are the measures of the angles

Question 175801: In a triangle, the measure of the second angle is twice the measure of the first angle. The third angle is equal to the sum of the other angles. What are the measures of the angles?
Answer by EMStelley(208) (Show Source): You can put this solution on YOUR website!
Call the first angle x. Then the second angle can be represented by 2x. Since the third is the sum of the other two, the third can be represented by x+2x=3x. Since the sum of the angles in a triangle is 180 degrees, we have that

Thus the first angle is 30 degrees, the second angle is 60 degrees, and the third angle is 90 degrees.
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