Two opposite angles of parallelogram are (150-3x)and (2x-50).find the measure of all four sides
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Answered by
22
We know opposite angles are equal in a parallelogram. So,
150-3x=2x-50
or, 200=5x
or, x=200/5=40 degrees
hence the angles are 150-(3*40)=30 degrees
also adjacent sides are supplementary, so
another pair of angles are 180-30 each
that is 150 degrees each.
therefore the required answer is 30,150,30,150.
hope it helps. :)
150-3x=2x-50
or, 200=5x
or, x=200/5=40 degrees
hence the angles are 150-(3*40)=30 degrees
also adjacent sides are supplementary, so
another pair of angles are 180-30 each
that is 150 degrees each.
therefore the required answer is 30,150,30,150.
hope it helps. :)
Answered by
0
We know opposite angles are equal in a parallelogram. So,
150-3x=2x-50
or, 200=5x
or, x=200/5=40 degrees
hence the angles are 150-(3*40)=30 degrees
also adjacent sides are supplementary, so
another pair of angles are 180-30 each
that is 150 degrees each.
therefore the required answer is 30,150,30,150.
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