If two parallel lines are cut by a transversal and one of the exterior angles me

₹0.0

📥 Instant PDF Download
♾ Lifetime Access
🛡 Secure & Original Content

What’s inside this PDF?

Question: 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?

Options:

30 degrees
150 degrees
180 degrees
90 degrees

Correct Answer: 30 degrees

Solution:

The corresponding interior angle is equal to 180 - 150 = 30 degrees.

If two parallel lines are cut by a transversal and one of the exterior angles me

Practice Questions

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.
Step 8: Calculate the result: Corresponding interior angle = 30 degrees.

Exterior and Interior Angles – Understanding the relationship between exterior angles formed by a transversal cutting parallel lines and their corresponding interior angles.
Angle Relationships – Knowledge of how to calculate angles based on the properties of parallel lines and transversals, specifically that corresponding angles are supplementary.

If two parallel lines are cut by a transversal and one of the exterior angles me

What’s inside this PDF?

If two parallel lines are cut by a transversal and one of the exterior angles me

Practice Questions

Questions & Step-by-Step Solutions

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?