Question

Find the measure of the missing arc KN labeled on the graph. Show all your work that leads the final answer.

Answer 1

arc KN = 201°

Explanation:

External Angles

I'll use the letters in the picture to explain,

m∠k = arc KN - arc KM divided by 2

or

k =
`(major - minor)/(2)`

70 =
`(x - 61)/(2)` Multiply both sides by 2

140 = x - 61 Add 61 to both sides

201 = x