find the angles of a parallelogram if one angle is 30 degree less than the smallest sngle
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Answer:
Let the smaller angle be x
Let the larger angle be x+30
We know that in a parallelogram, the sum of angles is 360 degree and opposite angles are equal.
x+x+(x+30)+(x+30)=360
x+x+x+30+x+30=360
4x+60=360
4x=360-60
x=300/4
x=75
x+30
=75+30
=105
Thus the angles of the parallelogram are 75,75,105,105 degrees.
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