SOLUTION: In parallelogram JOHN, measure of angle j is 3x-8 and measure of angle h is x+20, find the measure of all the angles.

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Question 812807: In parallelogram JOHN, measure of angle j is 3x-8 and measure of angle h is x+20, find the measure of all the angles.
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
In parallelolells (parallelograms) opposite angles are equal, and adjacent angles are supplementary (add to 180).


J and H are opposite angels, so they are equal. 3x-8 = x+20


2x = 28


x = 14


J = 3(14)-8 = 34 = 14+20 = H


O and N are equal. O+J = 180.


O + 34 = 180


O = 146 = N


Just to check, the interior angles of a polygon add to 360 degrees. 34+34+146+146 = 360