What is the measure of the corresponding angle if one angle measures 75 degrees

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Question: What is the measure of the corresponding angle if one angle measures 75 degrees and the lines are parallel?

Options:

Correct Answer: 75 degrees

Solution:

Corresponding angles are equal when two parallel lines are cut by a transversal.

What is the measure of the corresponding angle if one angle measures 75 degrees and the lines are parallel?

What is the measure of the corresponding angle if one angle measures 75 degrees and the lines are parallel?

Step 1: Identify the two parallel lines and the transversal line that crosses them.
Step 2: Note the angle that measures 75 degrees. This angle is formed by the transversal and one of the parallel lines.
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 75-degree angle will also measure 75 degrees.
Step 5: Conclude that the measure of the corresponding angle is 75 degrees.

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