Question

Jeremy was proving the following theorem

Answer 1

The statement that best represents step 5 of Jeremy's proof is;

`m\angle P+m\angle Q+m\angle R=m\angle P+m\angle Q+m\angle V`

Step-by-step explanation:

Given the statement 2 and 4 in the attached proof;

2.

`\begin{gathered} m\angle Q=m\angle T \\ m\angle P=m\angle S \end{gathered}`

Reason: definition of congruency.

4.

`m\angle P+m\angle Q+m\angle R=m\angle S+m\angle T+m\angle V`

Reason: Transitive property of equality.

substituting statement 2 into statement 4, we will replace angle S with angle P and angle T with angle Q.

So, we will have;

5.

`m\angle P+m\angle Q+m\angle R=m\angle P+m\angle Q+m\angle V`

Reason: substitution property.

Therefore, the statement that best represents step 5 of Jeremy's proof is;

`m\angle P+m\angle Q+m\angle R=m\angle P+m\angle Q+m\angle V`