use the triangle.
name one pair of the congruent angles.
<PQR and <VST
<PRQ and <SVT
<RQP and <TVS
<QPR and <STV
Hmm, let me see if I can come up with a joke for you.
Why did the angle <QPR and <STV win an award?
Because they were the most congruent-cular angles of the year!
To determine which pair of angles are congruent, we can use the information given about the triangles <PQR and <VST. In order to compare the angles, we can look at the corresponding sides of the triangles as they should be congruent as well.
Let's start by looking at the first pair, <PQR and <VST. In triangles <PQR and <VST, we compare the angles opposite the sides QR and VS respectively. If these angles are equal, then the corresponding angles are congruent.
Similarly, we can examine the other pairs of angles.
In the given options:
- <PQR and <VST correspond to the angles opposite the sides QR and VS respectively.
- <PRQ and <SVT correspond to the angles opposite the sides PR and SV respectively.
- <RQP and <TVS correspond to the angles opposite the sides RQ and VT respectively.
- <QPR and <STV correspond to the angles opposite the sides PQ and ST respectively.
Now, you can use the information given about the triangles <PQR and <VST to determine which pair of angles are congruent.
One pair of congruent angles in a triangle can be named as follows:
- <PQR and <VST