If two parallel lines are cut by a transversal and one of the exterior angles me
Practice Questions
Q1
If two parallel lines are cut by a transversal and one of the exterior angles measures 150 degrees, what is the measure of the corresponding interior angle?
30 degrees
150 degrees
180 degrees
90 degrees
Questions & Step-by-Step Solutions
If two parallel lines are cut by a transversal and one of the exterior angles measures 150 degrees, what is the measure of the corresponding interior angle?
Step 1: Understand that when two parallel lines are cut by a transversal, several angles are formed.
Step 2: Identify the exterior angle given in the question, which measures 150 degrees.
Step 3: Recall that the corresponding interior angle is on the same side of the transversal as the exterior angle.
Step 4: Use the fact that the sum of the exterior angle and the corresponding interior angle is 180 degrees.
Step 5: Set up the equation: Exterior angle + Corresponding interior angle = 180 degrees.
Step 6: Substitute the value of the exterior angle into the equation: 150 degrees + Corresponding interior angle = 180 degrees.
Step 7: Solve for the corresponding interior angle by subtracting 150 degrees from 180 degrees: Corresponding interior angle = 180 - 150.
