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Type IV: A circle touches the sides of t...

Type IV: A circle touches the sides of the quadrilateral ABCD at P, Q, R, and S respectively. Show that the angles subtended at the center by a pair of opposite sides are supplementary.

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Type IV: A circle touches the sides of the quadrileteral ABCD at P;Q;R and S respectively.Show that the angles subtended at the center by a pair of opposite sides are supplementary.

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