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Question 12
10 pts
Which angle(s) is/are supplementary?
Same Side Interior
Alternate Interior
Alternate Exterior
Vertical
Corresponding

Ask by Tran Powell. in the United States
Jan 24,2025

Solución de inteligencia artificial de Upstudy

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Same Side Interior angles are supplementary.

Solución

Answer:
Same Side Interior angles are supplementary.
Explanation:
When two parallel lines are cut by a transversal, various types of angles are formed. Among these:
  • Same Side Interior (Consecutive Interior) Angles: These angles lie on the same side of the transversal and between the two lines. They are supplementary, meaning their measures add up to 180°.
The other types of angles have different relationships:
  • Alternate Interior Angles: These are congruent (equal in measure), not supplementary.
  • Alternate Exterior Angles: These are also congruent.
  • Vertical Angles: These are congruent as well.
  • Corresponding Angles: These are congruent when the lines are parallel.
Therefore, only Same Side Interior angles are supplementary.
Correct Option:
• Same Side Interior

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Mind Expander

When discussing angles, supplementary angles are those that sum up to 180 degrees. In the case of the “Same Side Interior” angles, they are indeed supplementary when a transversal crosses parallel lines. So, if you find yourself looking at these angles, they can help you solve many geometric puzzles.
On the other hand, “Alternate Interior” and “Alternate Exterior” angles are not supplementary; they are congruent when the lines are parallel! This means they have equal measurements, which can be useful when trying to find unknown angles in tricky geometric problems. Keep these relationships in mind as you navigate through angle classifications!

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