Q3 of 26 Page 28

The measures of the opposite angles of a parallelogram are (3x – 2)° and (50 – x)°. Find the measure of each angle of the parallelogram.

As we all know that, Opposite angels are congruent Consecutive angles are supplementary in parallelogram.


For opposite angles


3x-2 = 50-x [by above statement]


3x+x = 50+2


4x = 52



Angles are 50-13 = 37°


And for Consecutive angles


Y+ 37° = 180°


Y = 143°


Hence angles are 37°,143°,37,143°


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