Two parallel lines l and m are cut by a transversal t. If the interior angles of the same side of t are (2x−8)∘ and (3x−7)∘, find the measure of each of these angles.
Using the property of interior angles on same sides
2x−8+3x−7=1805x−15=180x=39∘2x−8=2×39−8=703x−7=3×39−7=110