Answer :

The value of the unknown angle x is 110°

What is the value of x?

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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