Answer:
Yes, Mina is correct
Step-by-step explanation:
Let the triangles be A and B
Given
Triangle A:
[tex]Angles = 34, 57[/tex]
Triangle B:
[tex]Angles = 89, 57[/tex]
Required
Is Mina's claim correct?
First, we calculate the third angle in both triangles.
For A:
[tex]Third\ Angle = 180 - 34 - 57[/tex]
[tex]Third\ Angle = 89[/tex]
For B:
[tex]Third\ Angle = 180- 89 - 57[/tex]
[tex]Third\ Angle = 34[/tex]
For triangle A, the angles are: 34, 57 and 89
For triangle B, the angles are: 34, 57 and 89
Since both triangles have the same angles, then by the postulate of AAA (Angle-Angle-Angle), the triangles are similar.
