Identify the correct justification for each step, given that m∠1=35°
and m∠2=35°
.
The figure shows four rays with a common endpoint B. Rays B A and B C are opposite. They are directed horizontally to the left and to the right, respectively. Ray B E is directed to the upper left corner. Ray B D is directed to the upper right corner. Rays B A and B E form angle 1. Rays B D and B C form angle 2. Rays B E and B D form angle 3.
1. m∠1=35°
, m∠2=35°
2. m∠1+m∠3=m∠DBA
3. ∠2
and ∠DBA
are supplementary
4. m∠2+m∠DBA=180°
5. m∠2+m∠1+m∠3=180°
6. 35°+35°+m∠3=180°
7. 70°+m∠3=180°
8. m∠3=110°