Question

determine whether the pair of triangles is similar. explain your reasoning.
yes
select choice
select choice
∠srt is not congruent to ∠uwv
△rst ~ △uwv by aa similarity
△rst ~ △wuv by aa similarity
need help
get a hint

Explanation:

Step1: Find the third - angle of $\triangle RST$

The sum of angles in a triangle is $180^{\circ}$. In $\triangle RST$, if $\angle S = 42^{\circ}$ and $\angle T=98^{\circ}$, then $\angle R=180-(42 + 98)=40^{\circ}$.

Step2: Compare angles

In $\triangle RST$, angles are $40^{\circ},42^{\circ},98^{\circ}$. In $\triangle UWV$, angles are $40^{\circ},98^{\circ}$. Since $\angle R=\angle U = 40^{\circ}$ and $\angle T=\angle V=98^{\circ}$, by the AA (Angle - Angle) similarity criterion, the two triangles are similar.

Answer:

Yes, $\triangle RST\sim\triangle UWV$ by AA Similarity