Question

in triangle abc, ab is equal to ac and ∠b is 50 degrees. what is the measure of ∠c?
a 40°
b 50°
c 60°
d 130°

Explanation:

Step1: Identify triangle type

Since \(AB = AC\), \(\triangle ABC\) is an isosceles triangle.

Step2: Recall property of isosceles triangle

In an isosceles triangle, the angles opposite equal - sides are equal. Here, \(\angle B\) and \(\angle C\) are the angles opposite the equal sides \(AB\) and \(AC\) respectively.

Answer:

B. \(50^{\circ}\)