Question

Use the image to answer the question.Horizontal, parallel lines labeled m and n are cut by a transversal labeled k. Eight angles are formed and labeled at the intersection points of these three lines.Given that m∠3 is 75°, which theorem could be used to find m∠5?(1 point)ResponsesConsecutive Exterior Angles TheoremConsecutive Exterior Angles TheoremAlternate Exterior Angles TheoremAlternate Exterior Angles TheoremAlternate Interior Angles TheoremAlternate Interior Angles TheoremConsecutive Interior Angles Theorem

Answer 1

To find \( m\angle 5 \) when \( m\angle 3 \) is given as \( 75° \), you would use the **Alternate Interior Angles Theorem**. This theorem states that when two parallel lines are cut by a transversal, the pairs of alternate interior angles are equal. Since \( m\angle 3 \) and \( m\angle 5 \) are alternate interior angles, you can conclude that \( m\angle 5 = m\angle 3 = 75° \).