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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
