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PSYCHO15rus [73]
2 years ago
14

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 th

e parallelogram.​
Mathematics
1 answer:
RideAnS [48]2 years ago
8 0

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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