Question

Would two lines be parallel if the consecutive interior angles measured 108 degrees and 74 degrees? Explain.

Answer 1

Two lines would not be parallel if consecutive interior angles measured 108 degrees and 74 degrees, as their sum exceeds 180 degrees, indicating the lines will intersect.

Step-by-step explanation:

Two lines would not be parallel if the consecutive interior angles measured 108 degrees and 74 degrees. According to the properties of parallel lines and corresponding angles, the sum of consecutive interior angles formed by a transversal intersecting parallel lines is always 180 degrees. Since 108 degrees + 74 degrees = 182 degrees, which is not equal to 180 degrees, the lines cannot be parallel. In this case, the excess of 2 degrees suggests that the lines will eventually meet if extended indefinitely and therefore are not parallel.

Answer 2

no because lines can only be parallel if the both lines are strait up, strait left to right, strait diagonal, and that's it