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We are given an isosceles triangle \( \triangle JKL \) with two sides \( JK = KL = 7 \) and the angle \( \angle J = 25^\circ \). We are tasked with finding the measure of \( \angle L \).

### Solution:

Since the triangle is isosceles, the base angles must be equal. This means \( \angle J = \angle L \).

- \( \angle J = 25^\circ \), therefore \( \angle L = 25^\circ \).

Now, using the triangle angle sum property, we know that the sum of the interior angles of a triangle is always \( 180^\circ \).

\[
\angle J + \angle L + \angle K = 180^\circ
\]

Substituting the known values:

\[
25^\circ + 25^\circ + \angle K = 180^\circ
\]

\[
50^\circ + \angle K = 180^\circ
\]

\[
\angle K = 180^\circ - 50^\circ = 130^\circ
\]

Thus, the measure of \( \angle L \) is \( \boxed{25^\circ} \), corresponding to option **B**.

Would you like further explanation, or do you have any questions?

Here are 5 related questions:
1. How do you calculate the angles in an isosceles triangle?
2. What is the sum of all angles in any triangle?
3. Why do the base angles of an isosceles triangle have to be equal?
4. How would the solution change if the triangle was scalene instead of isosceles?
5. How can we calculate the length of the third side in a non-right triangle?

**Tip:** In an isosceles triangle, the two equal sides ensure that the base angles are always equal, making it easier to calculate missing angles.

What is the measure of angle L in the isosceles triangle JKL, given that angle J is 25° and sides JK and KL are equal?

Learn how to calculate the measure of angle L in an isosceles triangle JKL, where angle J is 25°. Understand the properties of isosceles triangles and the application of the angle sum property to solve this geometry problem. Suitable for students in Grades 6-8.

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