Answer
2. $\angle4\cong\angle P$
3. $\angle1\cong\angle4$
4. Definition of congruent angles
5. Given
6. $m\angle RVP =m\angle PVO$ ( $m\angle2=m\angle3$)
7. $m\angle1 +m\angle2=m\angle3+m\angle4$
8. Angle Addition Postulate
9. Substitution
10. $\angle TVP\cong\angle MVP$
Work Step by Step
2. $\angle4\cong\angle P$
3. $\angle1\cong\angle4$
4. Definition of congruent angles ( if two angles are congurent they have the same angle measure)
5. Given
6. $m\angle RVP =m\angle PVO$ ( $m\angle2=m\angle3$)
7. $m\angle1 +m\angle2=m\angle3+m\angle4$
8. Angle Addition Postulate
9. Substitution (we substitute $m\angle1 +m\angle2$ and $m\angle3 +m\angle4$ by $m\angle TVP$ and $m\angle MVP$)
10. $\angle TVP\cong\angle MVP$
