If angle 3 is 30 degrees and angle 4 is a corresponding angle to angle 3, what i

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Question: If angle 3 is 30 degrees and angle 4 is a corresponding angle to angle 3, what is the measure of angle 4?

Options:

Correct Answer: 30 degrees

Solution:

Corresponding angles are equal, so angle 4 is also 30 degrees.

If angle 3 is 30 degrees and angle 4 is a corresponding angle to angle 3, what is the measure of angle 4?

If angle 3 is 30 degrees and angle 4 is a corresponding angle to angle 3, what is the measure of angle 4?

Step 1: Identify the given information. Angle 3 is 30 degrees.
Step 2: Understand what corresponding angles are. Corresponding angles are angles that are in the same position on different parallel lines when crossed by a transversal.
Step 3: Since angle 4 is a corresponding angle to angle 3, it means they are in the same position relative to the parallel lines.
Step 4: Recall the property of corresponding angles: they are equal in measure.
Step 5: Therefore, since angle 3 is 30 degrees, angle 4 must also be 30 degrees.

Corresponding Angles – Corresponding angles are formed when a transversal intersects two parallel lines, and they are equal in measure.