avaskadava3345 avaskadava3345
  • 01-10-2020
  • Mathematics
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Geometry Question: BK bisects angle ABC and M angle ABK=28.3 degrees. Find M angle KBC and M angle ABC.

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MrRoyal
MrRoyal MrRoyal
  • 10-10-2020

Answer:

[tex]KBC = 28.3[/tex]

[tex]ABC = 56.6[/tex]

Step-by-step explanation:

Given

[tex]ABK = 28.3[/tex]

Required

Determine KBC and ABC

Since BK bisects ABK, then

[tex]KBC = ABK[/tex]

Substitute 28.3 for ABK

[tex]KBC = 28.3[/tex]

Using same point as above

Since BK bisects ABK, then

[tex]ABC = ABK + KBC[/tex]

[tex]ABC = 28.3 + 28.3[/tex]

[tex]ABC = 56.6[/tex]

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