Question

A clock shows a time of 3:20.what type of angle is this

Answer 1

Hour hand: $\frac{35\pi}{18}$

Minute hand: $\frac{11\pi}{6}*\frac{3}{3}=\frac{33\pi}{18}$

$\frac{35\pi}{18}-\frac{33\pi}{18}\\\frac{2\pi}{18}\\\frac{\pi}{9}$

Acute angle $<\frac{\pi}{2}$
Right angle $=\frac{\pi}{2}$
Obtuse angle $>\frac{\pi}{2}$
Straight angle $=\pi$

$0<\frac{\pi}{9}<\frac{\pi}{2}<\pi$

Acute angle.