Question

A room in an attic has a sloping wall that makes an angle of 55∘ with the floor, which is parallel to the ceiling.

What is the measure of an angle that forms a pair of same-side interior angles with that angle?

Answer 1

Using supplementary angles, it is found that the measure of an angle that forms a pair of same-side interior angles with that angle is of 125º.

What are supplemetary angles?

Two angles are called supplmenetary if the sum of their measures is of 180º.

Same-side interior angles are supplementary, hence:

55º + x = 180º

x = 180º - 55º

x = 125º.

The measure of an angle that forms a pair of same-side interior angles with that angle is of 125º.

More can be learned about supplementary angles at https://brainly.com/question/12919120