Answer:
93° (to the nearest degree)
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
to find angle C:
Therefore,
![(sinB)/(b)=(sinC)/(c)](https://img.qammunity.org/2023/formulas/mathematics/high-school/zo1e9h4q0m0wpltju0eb1r94h4zwr10io8.png)
![(sin38)/(9)=(sinC)/(11)](https://img.qammunity.org/2023/formulas/mathematics/high-school/ab0jlypdg0mmetgfiruooe7f4snak0t50q.png)
angle C = 48.80523914...°
Angle A = 180 - 38 - 48.80523914...°
= 93.19476086..°
= 93° (to the nearest degree)