Respuesta :

Hrishii

Answer:

164°

Step-by-step explanation:

  • By the property of intersecting chords, we have:

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

  • [tex]\implies 2*125\degree =(7x+31)\degree+86\degree[/tex]

  • [tex]\implies 250\degree =(7x+31)\degree+86\degree[/tex]

  • [tex]\implies 250\degree -86\degree=(7x+31)\degree[/tex]

  • [tex]\implies 164\degree=(7x+31)\degree[/tex]

  • [tex]\implies 164=7x+31[/tex]

  • [tex]\implies 164-31=7x[/tex]

  • [tex]\implies 133=7x[/tex]

  • [tex]\implies x = \frac{133}{7}[/tex]

  • [tex]\implies x = 19[/tex]

  • [tex]m\widehat{JK}=(7x+31)\degree [/tex]

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

  • [tex]\implies \huge{\orange{m\widehat{JK}=164\degree}} [/tex]

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