If two lines are cut by a transversal and the exterior angle is 130 degrees, wha

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Question: If two lines are cut by a transversal and the exterior angle is 130 degrees, what is the measure of the interior angle on the same side?

Options:

50 degrees
130 degrees
180 degrees
90 degrees

Correct Answer: 50 degrees

Solution:

The interior angle on the same side is supplementary to the exterior angle, so it measures 180 - 130 = 50 degrees.

If two lines are cut by a transversal and the exterior angle is 130 degrees, wha

Practice Questions

If two lines are cut by a transversal and the exterior angle is 130 degrees, what is the measure of the interior angle on the same side?

50 degrees
130 degrees
180 degrees
90 degrees

Questions & Step-by-Step Solutions

If two lines are cut by a transversal and the exterior angle is 130 degrees, what is the measure of the interior angle on the same side?

Step 1: Understand that when two lines are cut by a transversal, they create pairs of angles.
Step 2: Identify that the exterior angle given is 130 degrees.
Step 3: Recall that an exterior angle and its corresponding interior angle on the same side are supplementary, meaning they add up to 180 degrees.
Step 4: To find the measure of the interior angle, subtract the exterior angle from 180 degrees: 180 - 130.
Step 5: Calculate the result: 180 - 130 = 50 degrees.
Step 6: Conclude that the measure of the interior angle on the same side is 50 degrees.

Exterior and Interior Angles – Understanding the relationship between exterior and interior angles formed by a transversal cutting two lines.
Supplementary Angles – Recognizing that the sum of the measures of supplementary angles is 180 degrees.

If two lines are cut by a transversal and the exterior angle is 130 degrees, wha

What’s inside this PDF?

If two lines are cut by a transversal and the exterior angle is 130 degrees, wha

Practice Questions

Questions & Step-by-Step Solutions

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