For this exercise, we only need to consider three of the points, two of the rays, and the protractor. Let's remove the rest so that it is easier to view.
By looking at the numbers on the protractor's curved section, we can see that, on the inner scale, HM passes through 145^(∘) and HL through 90^(∘). According to the Protractor Postulate, the measure of ∠MHL is equal to the absolute value of the difference between these two values.
m∠MHL = |145^(∘) - 90^(∘)| = 55^(∘)
Now, we can classify the angle using its measure.
