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Question 51685: In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 8degrees less than the measure of the second angle. What is the measure of each angle?
Answer by mathchemprofessor(65)  (Show Source):
You can put this solution on YOUR website! Let the measure of the second angle be x degrees. Since the measure of the first angle is twice that of the second one, the first angle is 2x.
Given that, the third angle is 8 degrees less than the second one, it should be (x-8) degrees.
Sum of the angles in a triangle=180 degrees
So,2x+x+(x-8)=180
4x-8=180
4x=180+8=188
Dividing both sides by 4, we get
x=47
So, the first angle is 2*47=94 degrees
Second angle=47 degrees
Third angle=47-8=39 degrees.
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