Answer:
C = 38.18°; A = 40.57°
Step-by-step explanation:
B = 101' 15"
B = 101° + (15/60) = 101 + 0.25 = 101.25°
b =17.23cm,c=10.86cm
From Sine rule :
c/ sin C = b / Sin B
10.86 / sin C = 17.23 / sin 101.25
SinC = (sin 101.25 * 10.86) / 17.23
Sin C = 10.651328 / 17.23
Sin C = 0.6181850
C = Sin^-1(0.6181850)
C = 38.183716
C = 38.18°
Sum of angles in a triangle = 180°
A + B + C = 180°
A + 101.25° + 38.18° = 180°
A = (180 - (101.25 + 38.18))
A = 40.57°
