What is the sum of the measures of the interior angles formed by a transversal i

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

Options:

Correct Answer: 360°

Solution:

The sum of the measures of the interior angles formed is 360°.

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

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

Step 1: Understand that a transversal is a line that crosses two other lines.
Step 2: Recognize that when the transversal intersects two parallel lines, it creates several angles.
Step 3: Identify the interior angles formed between the transversal and the parallel lines.
Step 4: Note that there are four interior angles created by the transversal.
Step 5: Remember that the angles on a straight line add up to 180°.
Step 6: Since there are two pairs of angles on each side of the transversal, each pair adds up to 180°.
Step 7: Add the two pairs of angles together: 180° + 180° = 360°.
Step 8: Conclude that the sum of the measures of the interior angles formed by the transversal intersecting the two parallel lines is 360°.

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