Question

ans ans ans ans ans ans

Answer 1

It's quite simple

We know that rayKM bisects an. LMN

=>an. KMN = 1/2an.LMN = 1/2 × 111° = 55.5°.

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Answer 2

We are given enough information in the question which are as follows,

$\bold{\angle LMN = 111°}$

Ray MK bisects angle LMN.

$\bold{\large{\boxed{\underline{Solution: \longrightarrow }}}}$

Since,

MK bisects angle LMN.

Therefore,

The two angles so formed should be equal.

So,

angle KML = angle KMN

Also we can write angle LMN as,
angle KML + KMN

Hence,

angle LMN = angle KML + angle KMN

but we have proved above that,

angle KML = angle KMN

Therefore,

111 ° = angle KMN + angle KMN
2 angle KMN = 111°
angle KMN = 111 ° / 2
angle KMN = 55.5 °
angle KMN = angle KML = 55° 30'

Hence,

$\bold{\angle KMN =}\boxed{\bold{ 55.5° or~ 55° 30'}}$