Based on the same-side interior angles theorem, the value of x is: 10.
What is the Same-side Interior Angles Theorem?
The same-side interior angle theorem states that interior angles on same side of a transversal have a sum that equals 180 degrees.
The angle that is directly opposite to 8x = 8x. 8x and 10x are same-side interior angles. Therefore:
10x + 8x = 180
18x = 180
x = 180/18
x = 10
The value of x is: 10.
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