The value of the unknown angle x is 110°
The value of x is found as follows:
The line segment AB is parallel to the line segment CD
AB || CD
Drawing a line EF from E which is parallel to AB and CD
∠DCE + CEF = 180°
∠CEF = 180 - 130
∠CEF = 50
x + 20 + ∠CEF = 180
x + 20 + 50 = 180
x = 180 - 70
x = 110°
In conclusion, the unknown angle x is obtained from the known angles.
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