Answer:x = 9
Step-by-step explanation:
The attached photo is that of the given diagram. b represents the angle adjacent 75 degrees.
If line m is parallel to line n, it means that angle b degrees and angle (10x + 15) are corresponding angles. Corresponding angles are equal.
Therefore,
b = 10x + 15
The sum of angles on a straight line is 180 degrees. It means that
b + 75 = 180
b = 180 - 75 = 105
Therefore
10x + 15 = 105
10x = 105 - 15 = 90
x = 90/10 = 9
