for parallelogram LMNO, if m angle L =5x-28 and m angle N = 3x-10,find m angle O
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angleL = angleN as opposite angles in a parallelogram are equal
so 5x-28 = 3x-10
gives 2x = 18
x = 9
so angleL = 5(9) -28 = 45 -28 = 17
Now angleL and angleO are adjacent angles and in a ||gm adjacent angles total to 180 degree
so angleO = 180 - angleL = 180 - 17 = 163 deg