Please help me with this geometry question

∠R

Explanation:

The reason why it is ∠R is because it is the name for a 90-degree angle not a 60-degree angle.

Also, when you're given 3 letters to represent an angle like ∠PQR, the middle letter Q is the degree represented. This is the same for ∠RQP, and ∠Q is self-explanatory.

R

Step-by-step explanation:

just to add to the basically correct other answer : R is simply a different angle than Q. it does not matter, if one of them is 90 degrees or 60 degrees. they are both different angles, even if they would have the same amount of degrees (then they would have the same size, but are still different angles).

when we name an angle, we either name it directly (like Q) or describe it as the center of 2 crossing lines (the angle at the crossing point) like PQR with PQ and QR crossing at Q.

it is very important to have a clear and unique identification scheme to indicate what is what in an object without any wiggle room or possibility of misunderstanding.

yes

step-by-step explanation:

yes