Lines m and n are parallel when x equals 15°
Alternate interior angles are angles formed when two parallel or non-parallel lines are intersected by a transversal.
For line m and line n to be parallel:
m∠1 = m∠2 (alternate interior angles are equal)
7x = 5x + 30
subtracting 5x from both sides:
7x - 5x = 5x + 30 - 5x
2x = 30
x = 15°
Lines m and n are parallel when x equals 15°
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