SOLUTION: [ In a parallelogram one angle is four times its adjacent angle. Find all the angles of the parallelogram. ]

Question 825263: [ In a parallelogram one angle is four times its adjacent angle. Find all the angles of the parallelogram. ]
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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x = 4y
x + y = 180
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put the system of linear equations into standard form
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x - 4y = 0
x + y = 180
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copy and paste the above linear system in standard form into this matrix-method solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = two opposite angles are 144 degrees each
y = the other two angles are 36 degrees each
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system matrix
1 -4
1 1
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inverse of system matrix
0.2 0.8
-0.2 0.2
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determinant of system matrix = 5
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Solve quadratic equations, quadratic formula:
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Solve systems of linear equations up to 6-equations 6-variables:
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