Question

Ray KN is the angle bisector of angle JKL.

Explain how you could find m angle JKN
if you know m angle JKL.

Answer 1

See Explanation

Explanation:

Given

Angle: JKL

Bisector: KN

Required

How to determine JKN if JKN is known

When a line bisects an angle into two, the angle are divided into two equal parts.

In this case, JKL is bisected by KN;

The resulting angles are JKN and NKL

So:

`JKL = JKN + NKL` --------- (1)

From the explanation, we can understand that JKN and NKL hold the same value.

i.e.
`JKN = NKL`

So, (1) becomes

`JKL = JKN + JKN`

`JKL = 2JKN`

Divide by 2

`JKN = (JKL)/(2)`

Take for instance; JKL =8

`JKN = (8)/(2) = 4`