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BigorU [14]
3 years ago
15

Please explain how you got answer

Mathematics
1 answer:
kondaur [170]3 years ago
4 0
The angle formed by the intersection of tangent and secant outside the circle equals half the difference of the <span>intercepted arcs.
</span>\frac{(18x-6)-(5x+17)}{2}=60   \\ 18x-6-5x-17=60*2   \\ 13x-23=120   \\ 13x=120+23   \\ 13x=143\\ x=143/13 \\ x=11
<span>
Arc KNL = 18x-6 + 5x+17 
              = 23x + 11
              = 23*11 + 11
              = 264</span>°  ← answer<span>
</span><span>
</span>
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