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Name the definition, postulate or theorem that justifies the statement.

If bisects SW, VSTthen VSWWST.

Short Answer

Expert verified

The theorem that justifies the statement is the angle bisector theorem which states that if BXis the bisector ofABC, then mABX=12mABC, mXBC=12mABCand ABXXBC.

Step by step solution

01

Step 1. Write the angle bisector theorem.

The angle bisector theorem states that if BXis the bisector of ABC, then mABX=12mABC,mXBC=12mABCand ABXXBC.

02

Step 2. Description of step.

It is being given that ifSWbisects role="math" localid="1646593985453" VST, therefore by using the angle bisector theorem it can be said that VSWWST.

03

Step 3. Write the theorem that justifies the statement.

The theorem that justifies the statement is the angle bisector theorem which states that if BXis the bisector of ABC, then mABX=12mABC, mXBC=12mABCand ABXXBC.

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