Answer:
x = 158
Step-by-step explanation:
Since the opposite sides are parallel then the quadrilateral is a parallelogram
In a parallelogram
• opposite angles are congruent (equal )
∠ ADC and 68° are a linear pair and sum to 180° , that is
∠ ADC + 68° = 180° ( subtract 68° from both sides )
∠ ADC = 112°
∠ ABC and ∠ ADC are opposite angles , so
∠ ABC = 112°
The sum of the angles around a point is 360°
sum the angles around point B , equate to 360 and solve for x
x + 90 + 112 = 360
x + 202 = 360 ( subtract 202 from both sides )
x = 158
