Question

a circle touches all sides of a quadrilateral prove that at centre internal angle made by opposite sides are supplementary​

Answer 1

Answer:

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Step-by-step explanation:

Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle. Given : A circle with centre O touches the sides AB, BC, CD and DA of a quadrilateral ABCD at the points P, Q, R and S respectively. ... Since sum of all the angles subtended at a point is 360°.