34.Two opposite angles of a parallelogram are (3x − 2)° and (50 − x)°. Find the measure of each angle of the parallelogram. *
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Step-by-step explanation:
As Opposite angles in a Parallelogram are equal
So
(3x-2)=(50-x)
After solving above equation
4x=52
x= 13 degrees (put x=13 in 3x-2 you will get 37 as an angle)
Let the remaining two angles be y as the both will be equal.
y+y+(3(13)-2)+(50-13)=360 (sum of angle in a Parallelogram)
2y+37+37=360
2y=286
Y=143
So the four angles are 143, 143, 37, 37
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