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