In a cyclic quadrilateral, the opposite angles are related in which way? (2023)

Practice Questions

Q1
In a cyclic quadrilateral, the opposite angles are related in which way? (2023)
  1. They are equal.
  2. They are supplementary.
  3. They are complementary.
  4. They are independent.

Questions & Step-by-Step Solutions

In a cyclic quadrilateral, the opposite angles are related in which way? (2023)
  • Step 1: Understand what a cyclic quadrilateral is. It is a four-sided figure (quadrilateral) where all corners (vertices) lie on a single circle.
  • Step 2: Identify the opposite angles in the cyclic quadrilateral. These are the angles that are not next to each other.
  • Step 3: Learn about supplementary angles. Supplementary angles are two angles that add up to 180 degrees.
  • Step 4: Apply the property of cyclic quadrilaterals. In a cyclic quadrilateral, the opposite angles are always supplementary.
  • Step 5: Conclude that if you have two opposite angles in a cyclic quadrilateral, you can add them together, and their sum will equal 180 degrees.
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