Question

In the parallelogram, m∠KLO = 68 and m∠MLO = 61. Find m∠KJM. The figure is not to scale.

Answer 1

C.
`129^o`

Explanation:

We have been given a parallelogram and we are asked to find the measure of ∠KJM.

Since we know that opposite angles of parallelogram are always equal.

We can see that opposite angle of angle KJM is angle MLK. so by parallelogram property:

`m\angle KJM=m\angle MLK`

`m\angle MLK=m\angle KLO+m\angle MLO`

`m\angle MLK=68^o+61^o`

`m\angle MLK=129^o`

`m\angle KJM=129^o`

Therefore, the measure of angle KJM is 129 degrees and option C is the correct choice.

Answer 2

The measure of angles KLO and MLO add up to 129 degrees. This makes angle KLM. The measure of angle KLM is equal to KJM. They angles are congruent. Therefore...

m angle KJM is equal to 129 degrees :)