SOLUTION: The measures of two angles in a trapezoid are in the ratio of 2:4. The measure of the larger angle is twenty-four degrees less than three times the smaller angle. What is the measu

Algebra ->  Parallelograms -> SOLUTION: The measures of two angles in a trapezoid are in the ratio of 2:4. The measure of the larger angle is twenty-four degrees less than three times the smaller angle. What is the measu      Log On


   

Question 935509: The measures of two angles in a trapezoid are in the ratio of 2:4. The measure of the larger angle is twenty-four degrees less than three times the smaller angle. What is the measure of the larger angle?
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
x = larger angle
y = smaller angle
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x/y = 4/2
2x = 4y
x = 3y - 24
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put the system of linear equations into standard form
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2x - 4y = 0
x - 3y = -24
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = larger angle = 48 degrees
y = smaller angle = 24 degrees
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