When to use $m(\measuredangle ABC)$ vs $\angle ABC$

Question

In geometry problems, usually I see something like $\angle ABC=\dfrac{\pi}{3}$ when an angle needs to be given a measure. However, sometimes I see people write that same equation as $m(\measuredangle ABC)=\dfrac{\pi}{3}$. What is the correct notation?

Answer 1

It's not wrong to use either. The symbol ∠ is usually used for angles we don't know the size of, while ∡ is used for measured angles, for example |∡ABC|=70˚ or m(∡AMC)=120˚, so, I recommend using the second notation in your case as you know the angle size, but otherwise, use the other notation.