Given two parallel lines and a transversal, if one of the interior angles measur
Practice Questions
Q1
Given two parallel lines and a transversal, if one of the interior angles measures 40 degrees, what is the measure of the corresponding angle?
40 degrees
140 degrees
180 degrees
90 degrees
Questions & Step-by-Step Solutions
Given two parallel lines and a transversal, if one of the interior angles measures 40 degrees, what is the measure of the corresponding angle?
Step 1: Identify the two parallel lines and the transversal line that crosses them.
Step 2: Locate the interior angle that measures 40 degrees.
Step 3: Understand that corresponding angles are angles that are in the same position relative to the parallel lines and the transversal.
Step 4: Since the lines are parallel, the corresponding angle to the 40-degree angle is equal to it.
Step 5: Conclude that the measure of the corresponding angle is also 40 degrees.
Corresponding Angles – When two parallel lines are intersected by a transversal, the angles that are in the same relative position at each intersection are called corresponding angles, and they are equal.