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Given:

line m || line n

To Find:

The value of x.

Alternate Interior Angles:

The angles formed when a transversal intersects two parallel lines ( m and n ).

Explanation:

6x + 10° = 5x + 28° ( Alternate Interior Angles )

By transposition method, we get

6x - 5x = 28° - 10°

By simplifying the like terms, we get

x = 18°

Answer:

The value of x is 18°.