In a pair of parallel lines cut by a transversal, if one of the interior angles
Practice Questions
Q1
In a pair of parallel lines cut by a transversal, if one of the interior angles is 120°, what is the measure of the other interior angle on the same side of the transversal?
60°
120°
180°
90°
Questions & Step-by-Step Solutions
In a pair of parallel lines cut by a transversal, if one of the interior angles is 120°, what is the measure of the other interior angle on the same side of the transversal?
Step 1: Understand that a transversal is a line that crosses two parallel lines.
Step 2: Identify that when a transversal cuts parallel lines, it creates pairs of interior angles on the same side.
Step 3: Know that the two interior angles on the same side of the transversal are supplementary, meaning they add up to 180°.
Step 4: Since one of the angles is given as 120°, set up the equation: Angle 1 + Angle 2 = 180°.
Step 5: Substitute the known angle into the equation: 120° + Angle 2 = 180°.
Step 6: Solve for Angle 2 by subtracting 120° from 180°: Angle 2 = 180° - 120°.
