## Elementary Geometry for College Students (7th Edition)

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. $\angle TVP\cong\angle MVP$
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. $\angle TVP\cong\angle MVP$