JL is a common tangent to circles M and K at point J. If angle MLK measures
1 answer:
Answer:
MJ = 6.5
Step-by-step explanation:
Tangent lines to a circle are perpendicular to the radius.
tan 68° = JL/3
2.4751 = JL/3
JL = 7.4253
∠JLK = 90° - 68° = 22°
∠MLJ = 61° - 22° = 39°
sin 61° = MJ/7.4253
MJ = 7.4253(0.8746) = 6.5
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