Answer:
93° (to the nearest degree)
Step-by-step explanation:
sum of the interior angles of a triangle = 180°
Find angle C first, then subtract angle C and angle B from 180° to find angle A.
Use the sine rule [tex]\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}[/tex] to find angle C:
Therefore,
[tex]\frac{sinB}{b}=\frac{sinC}{c}[/tex]
[tex]\frac{sin38}{9}=\frac{sinC}{11}[/tex]
angle C = 48.80523914...°
Angle A = 180 - 38 - 48.80523914...°
= 93.19476086..°
= 93° (to the nearest degree)
