To prove that the triangles are similar by the sas similarity theorem, it needs to be proven that

It needs that the measure of angle m<I is equal to 60 degrees to prove that the triangles are similar

Step-by-step explanation:

we know that

The SAS Similarity states that: If in two triangles, one pair of corresponding sides are proportional and the included angles are equal then the two triangles are similar.

so

In this problem

The corresponding sides are proportional, because

It needs to be proven that the included angles are equal in both triangles

The measure of angle m<I must be equal to 60 degrees to prove that the triangles are similar

step-by-step explanation: