Question

the opposite angle of parallelogram are (3x-2) and (50-x).find the each angle of parallelogram

Answer 1

as we know opposite angles of a parallelogram
are equal.
then we have
3x-2 =50-x
3x+x=50+2
4x=52
x=13
angle wil be 50-13=37
so adjacent angle will be 180-37 =143
angles are 37,37,143,143
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Answer 2

as we know that the opposite angles are equal


therefore


$50 - x = 3x - 2 \\ \\ - x - 3x = - 2 - 50 \\ \\ - 4x = - 52 \\ \\ 4x = 52 \\ \\ x = \frac{52}{4 } \\ \\ x = 13$


now one of the opposite angle = 50 -x=50-13

=37




for the other angles


As we know that the pair of adjacent angle's
sum is 180


therefore



37 + (other angle)= 180

other angle = 143




we got all four angles

e.i 143 143 37 and 37