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

₹0.0

Question: In a cyclic quadrilateral, which of the following is true regarding its opposite angles?

Options:

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, which of the following is true regarding its opposite angles?

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.

Cyclic Quadrilateral – A cyclic quadrilateral is a four-sided figure where all vertices lie on the circumference of a circle.
Opposite Angles – In a cyclic quadrilateral, the opposite angles are those that do not share a common side and are located across from each other.
Supplementary Angles – Two angles are supplementary if their measures add up to 180 degrees.