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A quadrilateral ABCD is drawn to circums...

A quadrilateral ABCD is drawn to circumscribe a circle. Prove that `A B+C D=A D+B C`

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To prove that for a quadrilateral ABCD circumscribing a circle, the relation \( AB + CD = AD + BC \) holds, we can follow these steps: ### Step 1: Understand the properties of tangents When a circle is inscribed in a quadrilateral, the lengths of tangents drawn from an external point to the points of tangency are equal. For example, if we draw tangents from point A to points P and Q on the circle, then \( AP = AQ \). ### Step 2: Assign tangent lengths Let: - \( AP = AS = x \) (tangents from point A) ...
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