Iwill award !

do statement and reason:

given: ∆dek, de = ke, ef− ∠ bisector of ∠e
m∠def = 44°, dk = 16

find: m∠dek, kf

statement and reason
1. m∠def = m∠ = 44° = def. of ∠ bisector
2. m∠dek = m∠+m∠=
3. m∠dek = + = 88° = substitution, algebra
4. de = = given
5. ef = = reflexive property
6. △def ≅ △ =
7. df = =
8. kf = 1/2dk = = algebra, 7

fill out the blanks

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see below

Step-by-step explanation:

1. m∠DEF = m∠_FEK___ = 44° = Def. of ∠ bisector  

2. m∠DEK = m∠_DEF___+m∠FEK___= _angle addition postulate

3. m∠DEK = _44___ + _44___ = 88° = Substitution, Algebra  

4. DE = _KE = Given  

5. EF = _FE = Reflexive property

6. △DEF ≅ △_KEF = _SAS postulate

7. DF = FK = ___CPCTC  (corresponding parts of congruent triangles are congurent)

8. KF = 1/2DK =8 = Algebra, 7

because 1.2 isnt half of 6 duh