<1 and <2 are same side interior angles formed by two parallel lines a transversal. If m<1=115, what is m<2?

According to your description

<1 + <2 = 180
115 + <2 = 180
<2 = 65

One of the same side angles of two parallel lines is 20° smaller than the other one. Find all angles.

To find the measure of angle <2, we need to use the property that states that same side interior angles formed by two parallel lines and a transversal are congruent.

Given that angle <1 has a measure of 115 degrees, we can conclude that angle <2 also has a measure of 115 degrees. This is because they are same side interior angles and parallel lines make corresponding angles congruent.

Therefore, m<2 = 115 degrees.