Question

I need help finding if these pairs of angles and sides are congruent ??

Answer 1

Looking at the image, we can see the following information:

∠SPU = ∠UTQ (same symbol in the image)

PU = UT (same dash line in the segment)

∠PUS = ∠QUT (vertical angles)

Since we have two angles and the side between them congruent, we can prove that the triangles are congruent by the case ASA (angle - side - angle).