12. Prove that the sum of opposite sides of quadrilateral circumscribed about a circle is always equal. i.e. if a quadrilateral ABCD is circumscribed about a circle the

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Q. A quadrilateral ABCD is drawn to circumscribe a circle. Prove that sums of opposite sides are equal.

Prove that the parallelogram circumscribing a circle is a rhombus.
OR
Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.

Q. If a quadrilateral

A B C D

is circumscribed about a circle with center

A B + C D = B C + D A

Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.

Q. Question 13
Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the center of the circle.

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