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Class 9 - CirclesCircles, Class 9 math tutorials, cyclic quadrilateral, math, mathemafia, mathematics, NCERT, theorems on circles
Theorem 10.11: The sum of either pair of opposite angles of a cyclic quadrilateral is 180 degree.
Prerequisite
If there exists a circle such that all four vertices of a quadrilateral passes through it, then it is known as cyclic quadrilateral. To prove this theorem the prerequisite is the proof of theorem 10.8 which states: “The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.”
Chapter 10 – Circles