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First, you can determine that because the parallelogram has two pairs of equal sides, it also has two pairs of equal angles. Also, a parallelogram’s interior angles add up to 360°. So since two different angle measures are given, their angles must add up to 180° (360°/2). So then you can add both of the expressions of those two angles and put them into an equation and isolate x.

2x - 10 + 2x + 50 = 180°
4x + 40 = 180°
4x = 180° - 40
x = 140°/4
x = 35

Therefore, x is 35.

The answer is part a: use