The measure of the arc NMK will be 183°. Then the correct option is B.
What is a circle?
The circle is at equidistant of points drawn from the center. The radius of a circle is the distance between the center and the circumference.
The measure of the angle ∠MLK is 35°.
The major and minor arc is 117x and 107x.
We know that the angle ∠MLK is the half of the difference of the major arc to minor arc.
∠MLK = (arc KN – arc KM) / 2
35° = (177x - 107x) / 2
70° = 70x
x = 1°
Then the measure of the arc KN will be
Arc NK = 177 x 1
Arc NK = 177°
We know that the sum of the arc KN and KMN will be 360°.
mNK + mNMK = 360°
177° + mNMK = 360°
mNMK = 360° – 177°
mNMK = 183°
The measure of the arc NMK will be 183°.
Then the correct option is B.
More about the circle link is given below.
https://brainly.com/question/11833983
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