Question

In the context of parallel lines, when two lines are cut by a transversal, what is the sum of the angles on the same side of the transversal?

a) 90 degrees
b) 180 degrees
c) 360 degrees
d) 45 degrees

Answer 1

When two parallel lines are cut by a transversal, the sum of angles on the same side of the transversal is 180 degrees.

Step-by-step explanation:

In the context of parallel lines cut by a transversal, the sum of the angles on the same side of the transversal is 180 degrees. This is due to the Angle-Side-Angle postulate, which suggests that the interior and exterior angles on the same side of a transversal add up to 180 degrees.

Looking at the given options, the correct answer here is (b) 180 degrees.