Help! Find m^KNL. A. 264 B. 196 C. 184 D. 247

Mathematics

1 answer:

Misha Larkins [42]3 years ago

5 0

Answer:

A. 264

Step-by-step explanation:

First, we have to find the value of x. Then we can use that to find the required arc measure.

∠M = (1/2)(arc KN - arc LN)

60 = (1/2)((18x -6) -(5x +17)) = (1/2)(13x -23) . . . . substitute and simplify

120 = 13x -23 . . . . . . . multiply by 2

143 = 13x . . . . . . . . . . add 23

11 = x . . . . . . . . . . . . . . divide by 13

arc KNL = (arc KN) + (arc NL) = (18x -6) +(5x +17) = 23x +11

= 23·11 +11

arc KNL = 264 . . . . degrees

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