Prove the following statement: If a quadrilateral is inscribed in a circle, then its opposite angles are supplementary.  Given: quadrilateral ABCD is inscribed in circle E Prove: ∠ADC and ∠ABC are supplementary            ∠DAB and ∠DCB are supplementary   Statement Reason quadrilateral ABCD is inscribed in circle E Given

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter1: Line And Angle Relationships
Section1.7: The Formal Proof Of A Theorem
Problem 28E
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Prove the following statement: If a quadrilateral is inscribed in a circle, then its opposite angles are supplementary. 

Given: quadrilateral ABCD is inscribed in circle E

Prove: ∠ADC and ∠ABC are supplementary

           ∠DAB and ∠DCB are supplementary

 

Statement Reason
quadrilateral ABCD is inscribed in circle E Given
   
   
   
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