Question

Please help me, by completing this proof!

Answer 1

Explanation:

Statement Reasons

1). Line PQ is an angle bisector of ∠MPN D). Given

2). ∠MPQ ≅ ∠NPQ A). Definition of angle bisector

3). m∠MPQ = m∠NPQ F). Definition of congruent

angles.

4). m∠MPQ + m∠NPQ = m∠MPN C). Angle addition postulate

5). m∠MPQ + m∠MPQ = m∠MPN G). Substitution property of

equality

6). 2(m∠MPQ) = m∠MPN B). Distributive property

7). m∠MPQ =
`(1)/(2)(m\angle MPN)` E). Division property of equality