Question

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

Answer 1

Answer:

$KBC = 28.3$

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

$KBC = ABK$

Substitute 28.3 for ABK

$KBC = 28.3$

Also;

$ABC = KBC + ABK$

Substitute 28.3 for ABK and KBC

$ABC = 28.3 + 28.3$

$ABC = 56.6$

Hence;

$KBC = 28.3$ and