1. **State the problem:** We have an isosceles triangle ABC with an angle of 130° at vertex B. We need to determine which statement about the angles is true. 2. **Recall properties of isosceles triangles:** In an isosceles triangle, two sides are equal, and the angles opposite those sides are equal. Since angle B is given, angles A and C are the base angles and must be equal. 3. **Use the triangle angle sum formula:** The sum of interior angles in any triangle is 180°. $$m\angle A + m\angle B + m\angle C = 180^\circ$$ 4. **Substitute the known value:** Given $m\angle B = 130^\circ$ and $m\angle A = m\angle C$ (because the triangle is isosceles), let $m\angle A = m\angle C = x$. $$x + 130^\circ + x = 180^\circ$$ 5. **Simplify the equation:** $$2x + 130^\circ = 180^\circ$$ 6. **Isolate $x$:** $$2x = 180^\circ - 130^\circ$$ $$2x = 50^\circ$$ 7. **Divide both sides by 2:** $$x = \frac{50^\circ}{2}$$ $$x = 25^\circ$$ 8. **Conclusion:** $m\angle A = 25^\circ$ and $m\angle C = 25^\circ$. 9. **Check the given options:** None of the options exactly state $m\angle A = 25^\circ$ and $m\angle C = 25^\circ$. However, the option $m\angle A + m\angle C = 60^\circ$ is close but incorrect since $25^\circ + 25^\circ = 50^\circ$. Therefore, none of the provided options are true based on the given information. The correct angle measures are $m\angle A = 25^\circ$ and $m\angle C = 25^\circ$.