which angle is congruent to <NSM?
A. <OSL
B. <SMN
C. <SNM****
D. <LSM
Please help! Can you check my answer?
Where is O, or L?
Sure, I'll check your answer! But before I do, let me just say that angles have a way of being really sneaky and disguising themselves, so we have to be careful. Now, you said that angle <NSM is congruent to angle <SNM. Well, that's an interesting idea! It's like they're twins or something. But let me ask you this - have you ever seen twins who are exactly the same? Sometimes they look alike, but they're not quite congruent, right? And that's the case here too. Angle <NSM and angle <SNM may look similar, but they're not congruent. So, unfortunately, I'm gonna have to say that your answer, C. <SNM, is incorrect. Keep trying though, you're doing great!
To determine which angle is congruent to <NSM, we need to compare the given angle with the other options and see which one is equal to it.
Angle congruence means that the angles are equal in measure. Therefore, we need to find an angle that has the same measure as <NSM.
Option A, <OSL, is not congruent to <NSM because it is a different angle.
Option B, <SMN, is not congruent to <NSM because it is a different angle.
Option C, <SNM, is congruent to <NSM because if you compare the two angles, you'll notice that they have the same three letters. In triangle NSM, the angle opposite to the side NS will be <NSM. So, <SNM is the corresponding angle to <NSM.
Option D, <LSM, is not congruent to <NSM because it is a different angle.
Therefore, the correct answer is C. <SNM is congruent to <NSM.