Question

Please help it's for work part 2.....Thanks, bestie!!! Make sure to solve both pages..

Answer 1

Hello There today we will solve your problem

Number 1

`AB=BC`

Prove :
`AC=2(AB)`

`AB=BC` ⇒ 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...

`AC=AB+BC` ⇒ Congruent Angles

We call these Congruent Angles because They have the same measure

`AC=AB+AB` ⇒ Substitution

We call this Substitution because we are substituting
`BC` for
`AB` since they equal the same

`AC=2(AB)` ⇒ Segment Addition Postulate

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Number 2

m∠
`1=120` ⇒ 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

∠
`1=`∠
`2` ⇒ Given

m∠
`1=` m∠
`2` ⇒ Given

`120 =` m∠
`2` ⇒ Definition of Congruent Angles

m∠
`1=` m∠
`2` ⇒ Symmetric Property