The problem asks for the measure of the third angle in an isosceles triangle, where the two base angles are each 13 degrees.

Solution:

1. In any triangle, the sum of the interior angles is always 180 degrees.
2. Since it's an isosceles triangle, two of the angles are equal, and each is given as 13 degrees.

Let the third angle be $x$ degrees.

$\text{Sum of the angles} = 13^\circ + 13^\circ + x^\circ = 180^\circ$

3. Solve for $x$:

$26^\circ + x^\circ = 180^\circ$

$x^\circ = 180^\circ - 26^\circ$

$x^\circ = 154^\circ$

Answer:

The measure of the third angle is 154 degrees.

Would you like more details or have any other questions?

Here are some related questions to consider:

1. What are the properties of an isosceles triangle?
2. How do you calculate the sum of angles in any polygon?
3. Can an isosceles triangle have obtuse angles?
4. How do angles in different types of triangles compare?
5. What are some real-world applications of isosceles triangles?

Tip: Remember, the angles in any triangle always add up to 180 degrees, which is a fundamental property that can help in solving many geometry problems.