Question

select the correct answer from the drop - down menu.
in the figure, transversal ( t ) intersects the parallel lines ( a ) and ( b ).
( angle 2congangle 7 ) the theorem by which they are congruent is the

Explanation:

• Alternate Exterior Angles Theorem: When a transversal intersects two parallel lines, alternate exterior angles are congruent.
• Here, \(\angle2\) and \(\angle7\) are on the exterior of the parallel lines \(a\) and \(b\) and on alternate sides of the transversal \(t\).
• Alternate Interior Angles Theorem: Applies to angles on the interior of the parallel lines.
• Vertical Angles Theorem: Applies to angles opposite each other when two lines intersect.
• Same Side Interior Angles Theorem: Applies to angles on the same - side of the transversal and interior of the parallel lines.

Answer:

Alternate Exterior Angles Theorem