Question

Can you please help me out with a question

Answer 1

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,

`\angle K=(144º)/(2)=72º`

Answer: D. 72º