Question

Please help, due tonight! I will give brainliest.

Answer 1

Answer:

$m\widehat{KL}=115\degree$

Step-by-step explanation:

• Chords MK and LF intersect each other at point J.
• By intersecting chords theorem, we have.

• $m\angle KJL =\frac{1}{2}(m\widehat {MF} +m\widehat{KL})$

• $\implies 85\degree =\frac{1}{2}(4x+11-6+11x)\degree$

• $\implies 2(85\degree )=(15x+5)\degree$

• $\implies 170\degree=(15x+5)\degree$

• $\implies 170=15x+5$

• $\implies 170-5=15x$

• $\implies 165=15x$

• $\implies \frac{165}{15}=x$

• $\implies 11=x$

• $m\widehat{KL}=(-6+11x)$

• $\implies m\widehat{KL}=(-6+11*11)$

• $\implies m\widehat{KL}=(-6+121)$

• $\implies m\widehat{KL}=115\degree$