https://file.aiquickdraw.com/mathbot/file/1726675888931abubo0c6.jpg

Yes, the triangles shown are similar. Here’s how we know:

1. Both triangles have one angle marked as 35°.
2. Both triangles also have a pair of sides marked as equal, indicating that they are isosceles triangles.
3. In any triangle, the sum of the interior angles is always 180°. Since both triangles have a 35° angle, and the triangles are isosceles (the base angles are equal), the other two angles must also be the same in both triangles:
   \[
   180^\circ - 35^\circ = 145^\circ
   \]
   \[
   145^\circ \div 2 = 72.5^\circ
   \]
   Each triangle has two angles of 72.5° and one angle of 35°.

Since the corresponding angles of both triangles are equal, the Angle-Angle (AA) Similarity Postulate confirms that the triangles are similar.

Would you like further details or explanations?

### Related Questions:
1. What is the Angle-Angle (AA) Similarity Postulate in geometry?
2. Can two triangles be similar if only two angles are known?
3. How does knowing the angles of a triangle help determine its similarity to another triangle?
4. What other postulates or theorems can prove triangles are similar?
5. How do the properties of isosceles triangles assist in identifying similarity?

### Tip:
When checking if two triangles are similar, remember that the AA postulate requires only two angles to be congruent for similarity to be confirmed.

Are the triangles shown similar? How do you know?

Determine if the two isosceles triangles with one angle of 35° are similar using the Angle-Angle (AA) Similarity Postulate. Learn how equal angles and the sum of triangle angles confirm similarity for Grades 7-9 students.

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