Q7 of 35 Page 3

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

We know that opposite angles of a parallelogram are equal.


Therefore (3x - 2)° = (50 - x)°


3x - 2° = 50° - x


3x° + x = 50° + 2°


4x = 52°


x =


Measure of opposite angles are: 3x - 2 = 3 × 13°-2 = 37°


(50 - x)° = 50 - 13 = 37°


Sum of adjacent angles = 180°


Other two angles are 180° - 37° = 143° each

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