Vertex of an angle on a circle
We have that in this case, we have that the measure of an angle on a circle is half the measure of its intercepted arc.
We have that the whole circle corresponds to a 360º, then:
because 360º - 214º = 144º
Then, the the intercepted arc by the angle K is 144º.
Then,
[tex]\angle K=\frac{144º}{2}=72º[/tex]
Answer: D. 72º
