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Question 204090This question is from textbook Algebra A Combined Approach
: One angle of the parallelogram is 15 degrees less than twice the measure of the angle next to it. Find the measure of each angle of the parallelogram. The sum of the angles is 360 degrees.
This question is from textbook Algebra A Combined Approach
Found 2 solutions by RAY100, stanbon:
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! Let x, y = angles of parallelogram.
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sum of angles = 2x +2y = 360
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but x=(2y-15),,,given
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subst
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2(2y-15) +2y =360
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4y -30 +2y =360
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6y =390
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y= 65,,,,,,,x=2y-25 =2(65)-15 = 115
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check 65 +115 = 180,,,ok both supplemental and 1/2 of 360
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Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! One angle of the parallelogram is 15 degrees less than twice the measure of the angle next to it. Find the measure of each angle of the parallelogram. The sum of the angles is 360 degrees.
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1st angle: Let its measure be "x" degrees.
2nd angle: 2x-15 degrees.
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Equation:
2(1st angle + 2nd angle) = 360 degrees
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2(x + 2x-15) = 360
3x-15 = 180
3x = 195
x = 65 degrees (2nd angle size)
2x-15 = 130-15 = 115 degrees (Size of 1st angle)
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Cheers,
Stan H.
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