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

If SWbisects ∠VST, then mWST=12mVST.

Short Answer

Expert verified

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

02

Step 2. Description of step.

It is being given that ifSWbisects∠VST, therefore by using the angle bisector theorem it can be said that mWST=12mVST.

03

Step 3. Write the theorem that justifies the statement.

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

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