Question

given \\( \triangle abc \\) shown, if \\( m \angle c = 40 ^ { \circ } \\), what is \\( m \angle b \\)?

Explanation:

Step1: Identify the triangle type

Since \( AB = AC \), \( \triangle ABC \) is isosceles. In an isosceles triangle, \( \angle B=\angle C \).

Step2: Use the given angle measure

Given \( m\angle C = 40^{\circ} \), and because \( \angle B=\angle C \) (from Step 1).

Answer:

\(40^{\circ}\)