SOLUTION: The second angle in a triangle is one and a half times the measure of the first. The third is 15 more than half the first angle. Find the measure of each angle in the triangle
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Question 363900: The second angle in a triangle is one and a half times the measure of the first. The third is 15 more than half the first angle. Find the measure of each angle in the triangle
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The second angle in a triangle is one and a half times the measure of the first. The third is 15 more than half the first angle. Find the measure of each angle in the triangle
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1st: x
2nd: (3/2)x
3rd:(x/2)+15
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Equation:
x + (3/2)x + (x/2)+15 = 180
3x + 15 = 180
3x = 165
x = 55 degrees
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1st: x = 55 degrees
2nd (3/2)x = 82.5 degrees
3rd: (x/2)+15 = 42.5 degrees
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Cheers,
Stan H.
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