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What can be concluded if two angles are supplementary and one of them is an exte

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Question: What can be concluded if two angles are supplementary and one of them is an exterior angle formed by a transversal intersecting two parallel lines?

Options:

  1. They are both acute.
  2. They are both obtuse.
  3. One is an interior angle.
  4. They are equal.

Correct Answer: One is an interior angle.

Solution:

If one angle is an exterior angle formed by a transversal intersecting two parallel lines, the other angle must be an interior angle, as they are supplementary.

What can be concluded if two angles are supplementary and one of them is an exte

Practice Questions

Q1
What can be concluded if two angles are supplementary and one of them is an exterior angle formed by a transversal intersecting two parallel lines?
  1. They are both acute.
  2. They are both obtuse.
  3. One is an interior angle.
  4. They are equal.

Questions & Step-by-Step Solutions

What can be concluded if two angles are supplementary and one of them is an exterior angle formed by a transversal intersecting two parallel lines?
  • Supplementary Angles – Two angles are supplementary if their measures add up to 180 degrees.
  • Exterior and Interior Angles – An exterior angle is formed outside the parallel lines, while an interior angle is formed between them when a transversal intersects.
  • Transversal and Parallel Lines – A transversal is a line that intersects two or more lines, creating various angle relationships.
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