If two parallel lines are cut by a transversal and one of the interior angles is

If two parallel lines are cut by a transversal and one of the interior angles is 45 degrees, what is the measure of the same-side interior angle?

If two parallel lines are cut by a transversal and one of the interior angles is 45 degrees, what is the measure of the same-side interior angle?

Step 1: Understand that we have two parallel lines and a transversal cutting through them.
Step 2: Identify that one of the interior angles formed by the transversal and the parallel lines is 45 degrees.
Step 3: Recall that same-side interior angles are supplementary, which means they add up to 180 degrees.
Step 4: To find the measure of the same-side interior angle, subtract the known angle from 180 degrees: 180 - 45.
Step 5: Calculate the result: 180 - 45 = 135 degrees.
Step 6: Conclude that the measure of the same-side interior angle is 135 degrees.

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