x = 52°
Step-by-step explanation:
q || p
To determine x, we need an illustration for better understanding:
Drawing a line to divide point B:
The two angles marked with magenta are alternate angles. Alternate angles are equal.
SInce one of the angle is 31 degrees. The other one is also 31 degrees
The two angles with green are alternate angles. The angles are equal.
One of the angle is 21 degrees. The other one is also 21 degrees
Angle ABC = angle marked in magenta + angle marked in green
Angle ABC = 31 degrees + 21 degrees
Angle ABC = 52 degrees
x = Angle ABC
Hence, x = 52°