Based on the converse of corresponding angles theorem, the value of x would be: 20.
<h3>What is the Converse of the Corresponding Angles Theorem?</h3>
The converse of corresponding angles theorem states that if two corresponding angles that lie on two lines that are crossed by a transversal are congruent to each other, then the lines are parallel lines.
Therefore, based on the converse of corresponding angles theorem, lines m and n will be parallel to each other if:
3x + 5 = 65
Solve for the value of x that makes both measures equal:
3x + 5 - 5 = 65 - 5 [subtraction property of equality]
3x = 60
3x/3 = 60/3 [division property of equality]
x = 20
Therefore, based on the converse of corresponding angles theorem, the value of x would be: 20.
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