to prove that the triangles are similar by the SAS similarity theorem, it needs to be proven that
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Answer:
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
[tex]\frac{40}{20}=\frac{20}{10}\\ \\2=2[/tex]
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