SOLUTION: the measure of two adjacent angles of a parallelogram are in the ratio 5:4.find the measure of each of the angles of the parallelogram

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Question 647401: the measure of two adjacent angles of a parallelogram are in the ratio 5:4.find the measure of each of the angles of the parallelogram
Found 2 solutions by stanbon, aaronwiz:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the measure of two adjacent angles of a parallelogram are in the ratio 5:4.find the measure of each of the angles of the parallelogram
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The sum of 2 adjacent angles of a parallelogram is 180 degrees.
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Equation:
The angles are 5x and 4x.
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5x + 4x = 180 degrees
9x = 180
x = 20
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5x = 100 degrees
4x = 80 degrees
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Cheers,
Stan H.
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Answer by aaronwiz(69) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, my name is Aaron I am in 10th grade and im in honors trig/pre-calc.
In a //-ogram consecutive angles are supp. they are transversals in a way. Lets make an equation
5x=larger angle
4x=smaller angle

5x+4x=180
x=20
now plug back in to the original equations. The larger angles are 100, while the smaller ones are 80.
Hope I helped. I would really appreciate your recommendation, their are plenty of other things I could be doing rather then spending time on this site helping people. Good luck! :)