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Given: ABCD is an inscribed polygon.Prove: ∠A and∠C are 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.Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.StatementReasonABCD is an inscribed polygon.GivenmBCD=2(m∠A)Response areamDAB=2(m∠C)Inscribed Angle TheoremmBCD+mDAB=360°Response area2(m∠A)+2(m∠C)=360°Response aream∠A+m∠C=180°Division Property of Equality ∠A and∠C are supplementary angles.Response areaThe option "Substitution Property" (4 of 7) has been selected. Press tab to choose a response area, and spacebar to insert it. Press escape to cancel.

Given: ABCD is an inscribed polygon.Prove: ∠A and∠C are supplementary angles.Figure-example-1
User Thanya
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1 Answer

3 votes
3 votes

Explanation

We are given the following figure:

We are required to state the reason for each of the given statements.

Hence, the answers are:

Given: ABCD is an inscribed polygon.Prove: ∠A and∠C are supplementary angles.Figure-example-1
Given: ABCD is an inscribed polygon.Prove: ∠A and∠C are supplementary angles.Figure-example-2
Given: ABCD is an inscribed polygon.Prove: ∠A and∠C are supplementary angles.Figure-example-3
Given: ABCD is an inscribed polygon.Prove: ∠A and∠C are supplementary angles.Figure-example-4
Given: ABCD is an inscribed polygon.Prove: ∠A and∠C are supplementary angles.Figure-example-5
User Shaharia Azam
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3.1k points