The theorem that applies to the similar triangles is AA theorem.
Similar triangles are triangle with same shapes but may be different sizes.
Similar triangle have corresponding sides as a ratio of each other.
The triangles above have two of their angles equal, therefore, the triangles are similar.
They are similar by AA theorem.
AA theorem of similarity states that If two of angles are equal, then the third angle must also be equal, because angles of a triangle always add to make 180°.
30 ≅ 30
95 ≅ 95
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