Q:

Two parallel lines are crossed by a transversal.Horizontal and parallel lines s and r are cut by transversal t. At the intersection of lines s and t, the uppercase left angle is 115 degrees. At the intersection of lines r and t, the uppercase left angle is x degrees.What is the value of x?x = 45x = 65x = 95x = 115

Accepted Solution

A:
Answer:[D] x = 115Step-by-step explanation:Given:Horizontal and parallel lines s and r are cut by transversal t. At the intersection of lines s and t, the uppercase left angle is 115 degrees. At the intersection of lines r and t, the uppercase left angle is x degrees.Note: Corresponding angles are congruentSolve:The figure showing parallel lines s and r that are intersected by transversal(t).The angle measuring 115 degrees is an exterior angle on the same side along transversal t where angle x also lies.Since, Corresponding angles are congruent x = 115~`Lenvy~