Answer: x = 35
Step-by-step explanation:
In a parallelogram, the opposite sides and the opposite angles are equal and parallel.
Also, the consecutive angles in a parallelogram are supplementary. This means that the sum of the consecutive angles is 180 degrees.
Angle (2x - 10) and angle (2x + 50) are consecutive angles. Therefore,
2x - 10 + 2x + 50 = 180
2x + 2x - 10 + 50 = 180
4x + 40 = 180
4x = 180 - 40 = 140
x = 140/4
x = 35
