Question

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 = 45
x = 65
x = 95
x = 115

Answer 1

[D] x = 115

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 congruent

Solve:

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~