The two same-side interior angles measure 55 degrees and 125 degrees, respectively.
Let's denote the measure of one same-side interior angle as x. According to the given information, the other same-side interior angle is x + 70 degrees, as it is 70 degrees greater.
Same-side interior angles are supplementary, meaning their measures add up to 180 degrees when a transversal intersects two parallel lines. Therefore, we can set up an equation:
x + (x + 70) = 180
Combine like terms:
2x + 70 = 180
Subtract 70 from both sides:
2x = 110
Divide by 2:
x = 55
So, the measure of one same-side interior angle is 55 degrees, and the other same-side interior angle is 55 + 70 = 125 degrees.
The question probable may be:
What are the measures of the same-side interior angles formed by a transversal intersecting two parallel lines if one angle is 55 degrees and the other is 125 degrees?