To find the degree measure of angle OMK, we need to use the angle sum property of a triangle. In this case, we can use the given information to find the missing angle.

First, we know that the sum of all the angles in a triangle is always 180 degrees. Therefore, we can write the following equation:

N 49° L + K + OMK = 180°

Simplifying, we get:

K + OMK = 180° - N 49° L

Now, we can use the given information that angle OMK is equal to angle K to rewrite the equation as:

K + K = 180° - N 49° L

Combining like terms, we get:

2K = 180° - N 49° L

Dividing both sides by 2, we get:

K = (180° - N 49° L) / 2

Finally, to find the degree measure of angle OMK, we just need to substitute the value of K in the equation K + OMK = 180° - N 49° L.

Therefore, the degree measure of angle OMK is:

OMK = (180° - N 49° L) / 2.