SOLUTION: The measure of one interior angle of a parallelogram is 0.25 times the measure of another angle. Find the measure of each.
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Question 410245: The measure of one interior angle of a parallelogram is 0.25 times the measure of another angle. Find the measure of each. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The measure of one interior angle of a parallelogram is 0.25 times the measure of another angle. Find the measure of each.
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Sum of the angles = 360 degrees.
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Let the two larger angles have measure "x":
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Then the two smaller angles have measure "0.25x":
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Equation:
x + x + 0.25x + 0.25x = 360
2.5x = 360 degrees
x = 144 degrees (measure of each of the 2 larger angles)
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0.25x = 38 degrees (measure of each of the 2 smaller angles)
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Cheers,
Stan H.
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