SOLUTION: The sum of two opposite angles of a parallelogram are (3x-4) and (3x+16).Find the value of x and hence find the measure of each of its angle

Algebra ->  Parallelograms -> SOLUTION: The sum of two opposite angles of a parallelogram are (3x-4) and (3x+16).Find the value of x and hence find the measure of each of its angle       Log On


   



Question 1059018: The sum of two opposite angles of a parallelogram are (3x-4) and (3x+16).Find the value of x and hence find the measure of each of its angle
Answer by Boreal(15235) About Me  (Show Source):
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All the angles together add to 360 degrees
Therefore, 3x-4+3x+16=360
6x+12=360
6x=348
x=58 degrees
One sum is 170 deg, the other is 190 deg
The angles are 85 deg and 85 deg for one pair and 95 deg and 95 deg, since opposite angles are equal.