Hello There today we will solve your problem
Number 1
[tex]AB=BC[/tex]
Prove : [tex]AC=2(AB)[/tex]
[tex]AB=BC[/tex] ⇒ Given
We call this given because it is the first thing that we see in the problem and is the exact equation that we will use to solve
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Next...
[tex]AC=AB+BC[/tex] ⇒ Congruent Angles
We call these Congruent Angles because They have the same measure
[tex]AC=AB+AB[/tex] ⇒ Substitution
We call this Substitution because we are substituting [tex]BC[/tex] for [tex]AB[/tex] since they equal the same
[tex]AC=2(AB)[/tex] ⇒ Segment Addition Postulate
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Number 2
m∠[tex]1=120[/tex] ⇒ Given
We call this given because it is the first thing that we see in the problem and is the exact equation that we will use to solve
∠[tex]1=[/tex]∠[tex]2[/tex] ⇒ Given
m∠[tex]1=[/tex] m∠[tex]2[/tex] ⇒ Given
[tex]120 =[/tex] m∠[tex]2[/tex] ⇒ Definition of Congruent Angles
m∠[tex]1=[/tex] m∠[tex]2[/tex] ⇒ Symmetric Property
