Answer:
b. 43°
Step-by-step explanation:
The triangle ABC is an isosceles triangle because AB = CB. Now one property of isosceles triangles is that base angles A and C are also equivalent. In other words,
![∠A=∠C](https://img.qammunity.org/2023/formulas/mathematics/college/93rf4b5unmh8l6va12dyur04i716le51go.png)
Now we are told that
![∠A=43\degree](https://img.qammunity.org/2023/formulas/mathematics/college/lgj2kintei1jkorcsgh6zxx239i5ch36mt.png)
Therefore,
![\angle C=\angle A=43\degree](https://img.qammunity.org/2023/formulas/mathematics/college/gv3oofp6bad5cgswrgjok8j52i16ev0p57.png)
![\Rightarrow\boxed{\angle C=43\degree.}](https://img.qammunity.org/2023/formulas/mathematics/college/pth4wfp7dztls6l8wynumopas8scc9k6t6.png)
The measure of ∠C is 43°. Therefore, choice B is the correct answer!