Find the measure of

Answer:
Step-by-step explanation:
let the missing side be x
a^2+b^2=c^2
6^2+12^2=x^2
36+144=x^2
180=x^2
[tex]\sqrt{180[/tex] =x
6[tex]\sqrt{5[/tex] =x
for angle C
take angle C as reference angle
using tan rule
tan C=opposite/adjacent
tan C=6/12
tan C=0.5
C=[tex]tan^{-1}[/tex]0.5
C=26.6 degree