Answer:
B. 34°
Step-by-step explanation:
We have been given an image of a triangle and we are asked to find the measure of angle K.
We will use law of sines to solve our given problem.
, where, a, b and c are sides corresponding to angle A, angle B and angle C respectively.
Upon substituting our given values in above formula we will get,

Upon multiplying both sides of our equation by 2.7 we will get,



Now we will use arcsin to find the measure of angle K.
Upon rounding our answer to nearest whole number we will get,
Therefore, the measure of angle K is approximately 34 degrees and option B is the correct choice.