Applying corresponding angles, it is found that the measure of x is of x = 12.5º.
What are corresponding angles?
When two parallel lines are cut by a transversal, the angles that are in equivalent positions at the intersection of the two lines with the transversal are corresponding angles and have the same measure.
For this problem, the corresponding angles are given as follows:
- 5x - 10º, because it is opposite to the same vertex at the intersection of line AB with the transversal, hence the angle at the top right of this intersection is also of 5x - 10º.
Since the angles are corresponding, they have the same measure, and the value of x is found as follows:
5x - 10 = 3x + 15
2x = 25
x = 25/2
x = 12.5º.
More can be learned about corresponding angles at https://brainly.com/question/2009183
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