3 years ago

PLEASE HELP I WILL AWARD BRAINLIEST!!

Mathematics

1 answer:

Artyom0805 [142]3 years ago

5 0

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

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