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If two parallel lines are intersected by...

If two parallel lines are intersected by a transversal , then the interior angles on the same side of the transversal are -

A

equal

B

adjacent

C

Supplementary

D

Complementary

Text Solution

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The correct Answer is:
To solve the question, "If two parallel lines are intersected by a transversal, then the interior angles on the same side of the transversal are -", we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Parallel Lines and Transversal**: - Let’s denote the two parallel lines as line A and line B. - The transversal that intersects these lines will be line C. 2. **Mark the Angles**: - When line C intersects line A and line B, it creates several angles. Let's denote the angles formed at the intersection of line C with line A as angle 1 and angle 2, and the angles formed at the intersection with line B as angle 3 and angle 4. 3. **Identify the Interior Angles on the Same Side of the Transversal**: - The interior angles on the same side of the transversal are angle 2 and angle 3. 4. **Use the Properties of Parallel Lines**: - According to the properties of parallel lines cut by a transversal, the interior angles on the same side of the transversal are supplementary. This means that the sum of these two angles is equal to 180 degrees. 5. **Conclusion**: - Therefore, we conclude that the interior angles on the same side of the transversal are supplementary angles. ### Final Answer: The interior angles on the same side of the transversal are supplementary. ---
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