Answer:
a=10.8; c=4.3
Step-by-step explanation:
The sum of all the angles in a triangle is 180 degrees.
Two of the angles are given as 40 deg and 120 deg.
Subtract the measures of both from the sum to get the last angle:
180-40-120=20; ∠C=20°
Using Law of Sines: [tex]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex]
[tex]\frac{a}{sin120}=\frac{8}{sin40}; a=\frac{8*sin120}{sin40}; a=10.77837084[/tex]
[tex]\frac{c}{sin20}=\frac{8}{sin40}; a=\frac{8*sin20}{sin40}; c=4.25671109[/tex]
