maciedavis21 maciedavis21
  • 31-08-2020
  • Mathematics
contestada

BK−→− bisects ∠ABC and m∠ABK=28.3∘. Find m∠KBC and m∠ABC.

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MrRoyal
MrRoyal MrRoyal
  • 06-09-2020

Answer:

[tex]KBC = 28.3[/tex]

Step-by-step explanation:

Given

ABK = 28.3

Required

Determine KBC and ABC

Since BK is a bisector of ABC, then it divides the angle to ABK and KBC:

Such that

[tex]KBC = ABK[/tex]

Substitute 28.3 for ABK

[tex]KBC = 28.3[/tex]

Also;

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

Substitute 28.3 for ABK and KBC

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

[tex]ABC = 56.6[/tex]

Hence;

[tex]KBC = 28.3[/tex] and

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