Question

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

Answer 1

Answer:

164°

Step-by-step explanation:

• By the property of intersecting chords, we have:

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

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

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

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

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

• $\implies 164=7x+31$

• $\implies 164-31=7x$

• $\implies 133=7x$

• $\implies x = \frac{133}{7}$

• $\implies x = 19$

• $m\widehat{JK}=(7x+31)\degree$

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

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