Answer
$t_{C}$ = $908^{0}$C
$T_{K}$ = 1181 K
Work Step by Step
We can convert temperature from Fahrenheit into Celsius, by applying the formula:
$t_{C}$ = $\frac{5^{0}C}{9^{0}F}$ x ($t_{F}$-$32^{0}$F)
We know $t_{F}$ = $1666^{0}$F , so we can write:
$t_{C}$ = $\frac{5^{0}C}{9^{0}F}$ x ($1666^{0}$F-$32^{0}$F)
$t_{C}$ = $\frac{5^{0}C}{9^{0}F}$ x$1634^{0}$F
$t_{C}$ = $907.78.0^{0}$C
$t_{C}$ = $908^{0}$C
Now that we know the temperature in Celsius, we can apply formula to convert Celsius to Kelvin:
$T_{K}$ = ($t_{C}$x$\frac{1 K}{1^{0}C}$) +273.15 K
We know $t_{C}$ = $908^{0}$C, so :
$T_{K}$ = ($908^{0}$Cx$\frac{1 K}{1^{0}C}$) +273.15 K
$T_{K}$ = 1181.15 K
$T_{K}$ = 1181 K