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The problem shows two triangles, \( K \) and \( L \), where triangle \( L \) is a scaled copy of triangle \( K \). Both triangles are isosceles, meaning that two sides are equal, and they have equal base angles.

### Triangle \( K \):
- The angles are: \( 50^\circ \), \( 65^\circ \), and \( 65^\circ \).
- The side lengths are: two sides of 5 units and a base of unknown length.

### Triangle \( L \):
- The side lengths are scaled down to 3 units for the two equal sides.
- One angle, \( j^\circ \), is unknown.

Since triangle \( L \) is a scaled version of triangle \( K \), the angles in both triangles will remain the same because scaling only changes the side lengths, not the angles. Therefore, the angle \( j^\circ \) in triangle \( L \) corresponds to the angle of \( 50^\circ \) in triangle \( K \).

Thus, the value of \( j = 50^\circ \).

Would you like more details, or do you have any further questions?

Here are 5 related questions:
1. How do you calculate the angles in a triangle?
2. What are the properties of isosceles triangles?
3. How does scaling affect the sides and angles of a triangle?
4. Can the sum of the angles in any triangle exceed \( 180^\circ \)?
5. How would you calculate the area of triangle \( K \)?

**Tip:** In a triangle, the sum of the interior angles is always \( 180^\circ \), regardless of the triangle's type.

Learn how to find the value of angle j in a scaled version of an isosceles triangle. Triangle K has angles 50°, 65°, and 65°, and triangle L is a scaled copy. Understand the properties of isosceles triangles and how scaling affects angles. Suitable for Grades 6-8.

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