Given: Two opposite angles of a parallelogram are (3x – 2)° and (50 – x)°.
We know, opposite sides of a parallelogram are equal.
(3x – 2)° = (50 – x)°
3x + x = 50 + 2
4x = 52
x = 13
Angle x is 13°
Therefore, (3x - 2)° = (3(13) – 2) = 37°
(50 - x)° = (50 – 13) = 37°
Adjacent angles of a parallelogram are supplementary.
x + 37 = 180°
x = 180° − 37° = 143°
Therefore, required angles are : 37°, 143°, 37° and 143°.
