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  • 02-06-2018
  • Mathematics
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If the measures of two opposite angles of a parallelogram are represented by 3x+40 and x+50 what is the measure of each angle of the parallelogram

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Luv2Teach
Luv2Teach Luv2Teach
  • 09-06-2018
Opposite angles in a parallelogram are congruent, so 3x+40 = x+50 and x = 5.  That means that those 2 angles measure 3(5)+40 = 55, and the other 2 angles, which are congruent to each other, add up with the other to equal 360. 360-55-55=250.  Divide that between the other 2 remaining angles to get that those angles each measure 125.
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