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Strike441 [17]
3 years ago
14

Please help me with this

Mathematics
1 answer:
Gelneren [198K]3 years ago
4 0

9514 1404 393

Answer:

  • MN = 68°
  • LM = 25°
  • KLN = 180°
  • JLN = 248°
  • JN = 112°
  • NJL = 267°

Step-by-step explanation:

The relevant relationships are ...

  • the sum of arcs around a circle is 360°
  • a diameter divides the circle into two 180° arcs
  • the whole is the sum of the parts
  • the measure of an arc is the measure of the corresponding central angle

__

The arc measures can be found to be ...

  MN = 68°

  LM = 180° -68° -87° = 25° . . . . semicircle KLN less the marked angles

  KLN = 180° . . . . a semicircle

  JLN = JM +MN = 180° +68° = 248° . . . . semicircle JLM + MN

  JN = 180° -68° = 112° . . . . semicircle JNM less MN

  NJL = 180° +87° = 267° . . . . semicircle NJK + KL

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