The value of x is 55.
Given From fig line a and line b is parallel to each other.
We know that the sum of angles forming a line is always 180 degrees.
Here, the line a has two angles one is 55 degrees and other is say y degrees.
Now, [tex]y+55=180[/tex]
[tex]y=180-55[/tex]
[tex]y=125[/tex]
Since a and b are parallel lines and a transversal is passing through a and b,so angle y and angle (x+70) are corresponding angles which are equal.
So, [tex]x+70=125\\[/tex]
[tex]x=125-70[/tex]
[tex]x=55[/tex]
Hence the value of x is 55.
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