Doing test proofs in geometry. me find he missing proof.

See the proof.

Step-by-step explanation:

Conclusion                                                    |   Justification

1) Ray TQ bisects Angle PTR                     ; Given

2) Ray TR bisects Angle QTS                    ; Given

3) Angle PTQ is congruent to Angle RTQ; Definition of angle bisector

4) Angle RTQ is congruent to Angle RTS; Definition of angle bisector

5) Angle PTQ is congruent to Angle RTS; Transitive property of Congruence

Ray TQ cuts Angle PTR into two equal angles; those angles are PTQ and RTQ.

Ray TR cuts Angle QTS into two equal angles; those angles are RTQ and RST.

The transitive property says:

If u=w and w=r, then u=r.

We have the following for 3 and 4 which implies 5 based on this transitive property:

If Angle PTQ is congruent to Angle RTQ and Angle RTQ is congruent to RTS, then Angle PTQ is congruent to Angle RTS.

3x^3-x^2+6x-9