shukronaikromova46
shukronaikromova46 shukronaikromova46
  • 26-03-2021
  • Mathematics
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The measure of two consecutive angles of a parallelogram are in the ration of 7:5. What is the measure of the obtuse angle of the parallelogram.​

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musiclover10045
musiclover10045 musiclover10045
  • 26-03-2021

Consecutive angles in a parallelogram are supplementary angles which when added together equal 180 degrees.

The ratio is 7:5 so we would have:

7x + 5x = 180

Simplify:

12x = 180

Divide both sides by 12:

X = 15

So one angle is 7 x 15 = 105 degrees

The other angle is 5 x 15 = 75 degrees

An obtuse angle is an angle greater than 90 degrees.

The obtuse angle would be 105 degrees.

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