Answer :
Hour hand: [tex]\frac{35\pi}{18}[/tex]
Minute hand: [tex]\frac{11\pi}{6}*\frac{3}{3}=\frac{33\pi}{18}[/tex]
[tex]\frac{35\pi}{18}-\frac{33\pi}{18}\\\frac{2\pi}{18}\\\frac{\pi}{9}[/tex]
Acute angle [tex]<\frac{\pi}{2}[/tex]
Right angle [tex]=\frac{\pi}{2}[/tex]
Obtuse angle [tex]>\frac{\pi}{2}[/tex]
Straight angle [tex]=\pi[/tex]
[tex]0<\frac{\pi}{9}<\frac{\pi}{2}<\pi[/tex]
Acute angle.
Minute hand: [tex]\frac{11\pi}{6}*\frac{3}{3}=\frac{33\pi}{18}[/tex]
[tex]\frac{35\pi}{18}-\frac{33\pi}{18}\\\frac{2\pi}{18}\\\frac{\pi}{9}[/tex]
Acute angle [tex]<\frac{\pi}{2}[/tex]
Right angle [tex]=\frac{\pi}{2}[/tex]
Obtuse angle [tex]>\frac{\pi}{2}[/tex]
Straight angle [tex]=\pi[/tex]
[tex]0<\frac{\pi}{9}<\frac{\pi}{2}<\pi[/tex]
Acute angle.
