7. 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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SOLUTION
Given,
Two opposite angles of a ||gm are:
=) (3x-2)° &(50-x)°
Recall that opposite angles of a ||gm are equal.
Hence,
=) (3x-2)° = (50-x)°
=) 3x+x= 50+2
=) 4x= 52
=) x= 52/4
=)x= 13
Now,
(3x-2)°= [3×(13)-2]° = [39-2]°= 37°
sum of the adjacent angles = 180°
Hence, other two equal opposite angles
=) 180° - 37° = 143°
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refer to the attachment
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