SOLUTION: In a parallelogram the opposite angles have the same measures .. 5x-42. each of the two larger angles in a parallelogram is 42 degrees less than 5 times the smaller angles. find th

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Question 911877: In a parallelogram the opposite angles have the same measures .. 5x-42. each of the two larger angles in a parallelogram is 42 degrees less than 5 times the smaller angles. find the measure of each angle
Answer by stanbon(75887) About Me  (Show Source):
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In a parallelogram the opposite angles have the same measures .. 5x-42. each of the two larger angles in a parallelogram is 42 degrees less than 5 times the smaller angles. find the measure of each angle
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Comment:: Sum of the angles is 360 degrees
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Let smaller angles each be "x"::
Then each of the larger angles is 5x-42 degrees
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Equation::
x + x + 5x-42 + 5x-42 = 360 degrees
12x - 84 = 360
12x = 444
x = 37 degrees (measure of each of the smaller angles)
5x-42 = 143 degrees (measure of each of the larger angles)
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Cheers,
Stan H.
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