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In a cyclic quadrilateral, what is the relationship between the opposite angles?

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Question: In a cyclic quadrilateral, what is the relationship between the opposite angles?

Options:

  1. They are equal
  2. They are supplementary
  3. They are complementary
  4. They are congruent

Correct Answer: They are supplementary

Solution: 

In a cyclic quadrilateral, the opposite angles are supplementary, meaning they add up to 180 degrees.

In a cyclic quadrilateral, what is the relationship between the opposite angles?

Practice Questions

Q1
In a cyclic quadrilateral, what is the relationship between the opposite angles?
  1. They are equal
  2. They are supplementary
  3. They are complementary
  4. They are congruent

Questions & Step-by-Step Solutions

In a cyclic quadrilateral, what is the relationship between the opposite angles?
  • Cyclic Quadrilateral – A quadrilateral whose vertices lie on a single circle, leading to specific properties regarding its angles.
  • Opposite Angles – In a cyclic quadrilateral, the angles that are across from each other have a special relationship.
  • Supplementary Angles – Two angles are supplementary if their measures add up to 180 degrees.
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