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First of all, let me tell you that the answer is x=25.
we know that,
4x +50 degree = z.....(1.) (co-interior angles of the transversal are equal)
Now,
4x +50= 6x ( from (1.) ; also, the vertical opposite angles are equal)
Therefore, 50= 6x-4x
So, 50= 2x
x= 50/2 = 25
so, 4x+50 = 4*25+50 = 100+ 50 = 150
6x = 6*25 = 150 , and
z = 150
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