Question

problem 13: (first taught in lesson 18) from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: lines m and n intersect prove: ∠5 ≅ ∠7

Explanation:

When two lines (here, lines \( m \) and \( n \)) intersect, the opposite angles formed (vertical angles) are congruent. \( \angle 5 \) and \( \angle 7 \) are vertical angles formed by the intersection of lines \( m \) and \( n \), so by the Vertical Angles Theorem (or the property of vertical angles), \( \angle 5\cong\angle 7 \).

Answer:

Vertical Angles Theorem (or the definition of vertical angles, stating that vertical angles are congruent)