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.
1 answer:
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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