We know that opposite angles of a parallelogram are equal.
So, (3x – 2)° = (50 – x)°
3x° – 2° = 50° – x°
3x° + x° = 50° + 2°
4x° = 52°
x° = 52°/4
= 13°
Measure of opposite angles are,
(3x – 2)° = 3×13 – 2 = 37°
(50 – x)° = 50 – 13 = 37°
We know that Sum of adjacent angles = 180°
Other two angles are 180° – 37° = 143°
∴ Measure of each angle is 37°, 143°, 37°, 143°
