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Vitek1552 [10]
2 years ago
15

Find arc JK BRAINLIEST,POINTS,THANKS AND RATING GIVEN!!!

Mathematics
1 answer:
ololo11 [35]2 years ago
3 0

Answer:

164°

Step-by-step explanation:

  • By the property of intersecting chords, we have:

  • m\angle JNK =\frac{1}{2}[m\widehat {JK}+m\widehat{LM}]

  • \implies 2*125\degree =(7x+31)\degree+86\degree

  • \implies 250\degree =(7x+31)\degree+86\degree

  • \implies 250\degree -86\degree=(7x+31)\degree

  • \implies 164\degree=(7x+31)\degree

  • \implies 164=7x+31

  • \implies 164-31=7x

  • \implies 133=7x

  • \implies x = \frac{133}{7}

  • \implies x = 19

  • m\widehat{JK}=(7x+31)\degree

  • \implies m\widehat{JK}=(7*19+31)\degree

  • \implies \huge{\orange{m\widehat{JK}=164\degree}}
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