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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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Question

contestada

Respuesta :

wegnerkolmp2741o wegnerkolmp2741o · Answer 1 · 2019-02-23T00:17:39+01:00

Answer:

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