Question

Please help me with this

Answer 1

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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

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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