SOLUTION: The measure of the second angle of a triangle is 30% more than that of the first angle. The measure of the third angle is 10% less than twice the first angle. Find the measures of
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Question 171595: The measure of the second angle of a triangle is 30% more than that of the first angle. The measure of the third angle is 10% less than twice the first angle. Find the measures of all the angles.
I tried doing somethings but honestly i don't even know where to start. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The measure of the second angle of a triangle is 30% more than that of the first angle. The measure of the third angle is 10% less than twice the first angle. Find the measures of all the angles.
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Let the measure of the 1st angle be "x" degrees.
Then the measure of the 2nd angle is 1.30x degrees
And the measure of the 3rd angle is 0.90(2x) degrees
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EQUATION:
x + 1.3x + 1.8x = 180
10x + 13x + 18x = 1800
41x = 1800
x = 43.90 degrees (measure of the 1st)
1.3x = 57.073 degrees (measure of the 2nd)
1.8x = 79.024 degrees (measure of the 3rd)
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Cheers,
Stan H.
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