What is the measure of angle J?
K
40
6 cm

Yes we will magically find the answer when we don't even know what polygon it is. Thanks for providing us with 0.00001% of the question :) Oh and can you find angle M?

57 degrees

Step-by-step explanation:

By the Exterior Angles Theorem an exterior angle is equivalent to the sum of a triangle's remote, interior angles -

Here the exterior angle serves to be equivalent to 114 degrees, and the remote interior angles (in correspondence to the exterior angle) is equal to y. Now let us substitute these values:

114 = y + y,

114 = 2y,

y = 114/2,

y = 57 degrees