Respuesta :

Answer:

x = 14

JL = 166°

Step-by-step explanation:

✔️Find x:

83° = ½(9x + 40)° => inscribed angle theorem

Multiply both sides by 2

83*2 = 9x + 40

126 = 9x + 40

Subtract 40 from both sides

166 - 40 = 9x

126 = 9x

126/9 = 9x/9

14 = x

x = 14

✔️Find JL:

arc JL = 9x + 40

Plug in the value of x

JL = 9(14) + 40 = 126 + 40

JL = 166°