A difference of two coterminal angles is always a multiple of 360^(∘).
Tarshia is correct. See solution.
Practice makes perfect
We need to verify if either expression for the angle measure of an angle coterminal with the angle shown in the diagram is correct.
Let's now look at the expressions.
Recall that two angles are coterminal if they have a common terminal side. An angle that is coterminal with another angle θ can be found by adding an integer multiple of 360^(∘).
θ + n * 360^(∘)
As a result, the difference of two coterminal angles is always a multiple of 360^(∘). Let's check if this is the case for the proposed angle measures. We will start with the measure proposed by Tarshia.
We see that the difference of the angles equals 360^(∘), which means they are coterminal. We can now focus on the angle proposed by Alan. Once again, we will evaluate the difference of the angles to see if it is a multiple of 360^(∘).
