Answer:
least to greatest: ∠I < ∠J < ∠H
Explanation:
angle I:
cosI = [tex]\frac{10^2+12^2-8^2}{2*10*12}[/tex]
I = [tex]cos^{-1} (\frac{3}{4} )[/tex]
I = 41.41°
angle H:
cosH = [tex]\frac{10^2+8^2-12^2}{2*10*8}[/tex]
H = [tex]cos^{-1} (\frac{1}{8} )[/tex]
H = 82.82°
angle J:
cosJ = [tex]\frac{8^2+12^2-10^2}{2*8*12}[/tex]
J = [tex]cos^{-1}(\frac{9}{16} )[/tex]
J = 55.77°
They sum up to 180°, so the steps are correct.
