Question

determine which, if any, theorem can prove the triangles similar. sss~ sas~

Explanation:

Step1: Compare side ratios

$\frac{10}{2} = 5$, $\frac{15}{3} = 5$

Step2: Check included angles

Both included angles are $52^\circ$, so they are congruent.

Step3: Match similarity theorem

The triangles have two proportional sides and a congruent included angle, which fits the SAS~ theorem.

Answer:

SAS~