What is the sum of the interior angles formed by a transversal intersecting two

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Question: What is the sum of the interior angles formed by a transversal intersecting two parallel lines?

Options:

Correct Answer: 360 degrees

Solution:

The sum of the interior angles formed by a transversal intersecting two parallel lines is 360 degrees.

What is the sum of the interior angles formed by a transversal intersecting two parallel lines?

What is the sum of the interior angles formed by a transversal intersecting two parallel lines?

Step 1: Understand what a transversal is. A transversal is a line that crosses two or more other lines.
Step 2: Identify the two parallel lines. These are lines that run in the same direction and will never meet.
Step 3: Draw the transversal line so that it intersects the two parallel lines. This will create several angles.
Step 4: Notice that the angles formed on the inside of the parallel lines are called interior angles.
Step 5: Count the number of interior angles formed. There will be four interior angles created by the transversal.
Step 6: Remember that the angles on a straight line add up to 180 degrees. Each pair of interior angles on the same side of the transversal adds up to 180 degrees.
Step 7: Since there are two pairs of interior angles, you can calculate the total: 180 degrees + 180 degrees = 360 degrees.
Step 8: Conclude that the sum of the interior angles formed by a transversal intersecting two parallel lines is 360 degrees.

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