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

Answer:

See Explanation

Step-by-step 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

$JKN = \frac{JKL}{2}$

Take for instance; JKL =8

$JKN = \frac{8}{2} = 4$