Corresponding angles on parallel lines have equal measure
The value of x is 105 degrees
From the complete question (see attachment for figure), we have the following parameters:
Angle ABC = x
Angle CDE = 75
Because lines AB and CD are parallel lines, and lines BC and DE are also parallel lines.
It means that:
Angle ABC + Angle CDE = 180
Substitute x for Angle ABC, and 75 for Angle CDE
x + 75 = 180
Subtract 75 from both sides of the equations
x + 75 - 75 = 180 - 75
Evaluate like terms
x = 105
Hence, the value of x is 105 degrees
Read more about parallel angles at:
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