In a cyclic quadrilateral, which of the following is true regarding its opposite

Practice Questions

Q1
In a cyclic quadrilateral, which of the following is true regarding its 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, which of the following is true regarding its opposite angles?
  • Step 1: Understand what a cyclic quadrilateral is. A cyclic quadrilateral is a four-sided figure (quadrilateral) where all the vertices lie on the circumference of a 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 the property of opposite angles in a cyclic quadrilateral. This property states that the sum of the measures of the opposite angles is always 180 degrees.
  • Step 4: Conclude that in a cyclic quadrilateral, if you take any two opposite angles, they will add up to 180 degrees, which means they are supplementary.
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