Question

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

Answer 1

`KBC = 28.3`

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