x = 36° (option C)
Step-by-step explanation:
The adjacent angles in a parallelogram are supplementary. This means the sum of the angles is equal to 180 degrees
The adjacent angles in this paralllelogram are (4x + 2)° and 34°
(4x + 2)° + 34° = 180°
4x + 2 + 34 = 180
4x + 36 = 180
4x = 180 - 36
4x = 144
Divide both sides by 4:
4x/4 = 144/4
x = 36° (option C)