Question - Parallel Lines and Corresponding Angles
Solution:
The given diagram shows two parallel lines, marked as "l" and "m", and a transversal that intersects these parallel lines creating corresponding angles and alternate interior angles.In the diagram, there is a 140° angle formed between the transversal and line "m." Because line "l" is parallel to line "m," the angle formed between the transversal and line "l" that corresponds to the 140° angle will also be 140°.This is due to the Corresponding Angles Postulate, which states that when a transversal crosses parallel lines, corresponding angles are equal.Since we are given the notation m // n, where "m" and "n" are lines, we can assume "n" refers to the line labeled as "l" in the diagram, meaning that "l" and "m" are parallel.With this information, we can now determine that the value of angle x is also 140°, as it is a corresponding angle to the 140° angle on line "m".Therefore, x = 140°.
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