SOLUTION: Two adjacent angles of a parallelogram are in ratio 4:5. Find all the angles of the parallelogram. Justify your answer with proper steps.

Algebra ->  Parallelograms -> SOLUTION: Two adjacent angles of a parallelogram are in ratio 4:5. Find all the angles of the parallelogram. Justify your answer with proper steps.      Log On


   

Question 935348: Two adjacent angles of a parallelogram are in ratio 4:5. Find all the angles of the parallelogram. Justify your answer with proper steps.
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
x = first angle in degrees
y = second angle in degrees
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adjacent angles of a parallelogram are supplementary:
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x + y = 180
x/y = 4/5
x = (4/5)y
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put the system of linear equations into standard form
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x + y = 180
x - 0.8y = 0
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solution:
x = first angle in degrees = 80
y = second angle in degrees = 100
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