Question

determine whether the pair of triangles is similar. explain your reasoning. select choice select choice select choice yes no need help with this question?

Explanation:

Step1: Find the third - angle of first triangle

In $\triangle STR$, using the angle - sum property of a triangle ($\angle S+\angle T+\angle R = 180^{\circ}$), we have $\angle R=180^{\circ}-(42^{\circ}+98^{\circ})=40^{\circ}$.

Step2: Compare angles

In $\triangle STR$, angles are $42^{\circ},98^{\circ},40^{\circ}$. In $\triangle UVW$, angles are $40^{\circ},98^{\circ},42^{\circ}$. Since the corresponding angles of $\triangle STR$ and $\triangle UVW$ are equal, by the AA (angle - angle) similarity criterion, the two triangles are similar.

Answer:

Yes