Given: ABCD is an inscribed polygon.Prove: ∠A and∠Care supplementary angles.Figure shows a circle with center point O. Point A, point B, point C, and point D are located clockwise on the circle. Segment A B, segment B C, segment C D, and segment D A are shown. Drag an expression or phrase to each box to complete the proof.Statement ReasonABCD is an inscribed polygon. GivenmBCD⏜=2(m∠A) Inscribed Angle TheoremmDAB⏜=2(m∠C) mBCD⏜+mDAB⏜=360° Response area2(m∠A)+2(m∠C)=360° Substitution Propertym∠A+m∠C=180° Response area ∠A and∠Care supplementary angles.
