462,904 views
43 votes
43 votes
Given: Ray BD bisects prove: <1 and <3 are supplementary

Given: Ray BD bisects prove: <1 and <3 are supplementary-example-1
User Alamri
by
2.2k points

1 Answer

16 votes
16 votes

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}

User Cyebukayire
by
2.7k points