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Given: Ray BD bisects prove: <1 and <3 are supplementary

Given: Ray BD bisects prove: <1 and <3 are supplementary-example-1

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Let's begin by listing out the information given to us:


\begin{gathered} |BD|\text{ bisects }|EBC|\text{ into equal parts}\Rightarrow\angle1=\angle2 \\ \angle2\text{ is supplementary with }\angle3;\angle2+\angle3=180^(\circ) \\ \therefore\angle1+\angle3=180^(\circ) \end{gathered}

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