The values of C , a and b are 40° , 32.97 and 13.99 respectively.
1.)
From the diagram;
∠C = 180 - (118 + 22)
∠C = 40°
2.)
The sine rule is:
sinA/a = sinC/c
sin(118) / a = sin(40) / 24
3.)
sinB/b = sinC/c
sin(22)/b = sin(40)/24
4.)
We can calculate the value of 'a' thus ;
sin(118)/a = sin(40)/24
a * sin40 = sin(118) * 24
a = 32.97
5.)
sin(22)/b = sin(40)/24
b * sin(40) = sin(22) * 24
b = 13.99