Question

In the parallelogram, find

Answer 1

`{114}^(o)`

Explanation:

From the question,

`< KLO = {73}^(o)`

`< MLO={41}^(o)`

Base on the properties of a parallelogram, KL //JM and JK //ML

So, we can say that, <MLO alternates with <KJO and <KLO alternates with <MJO

Since alternative angles are equal,

`< MLO= < KJO = {41}^(o)`

`< KLO= < MJO = {73}^(o)`

In addition

`< MLK= < KJM = < KLO + < MLO`

`< MLK = {41}^(o) + {73}^(o) = {114}^(o)`

Therefore, m<KJM=
`{114}^(o)`