Question

triangle abc, shown in the diagram below, is an isosceles tri
if the measure of ∠cab is 15°, what is the measure of ∠abc?
82.5°
75°
15°
165°

Explanation:

Step1: Recall isosceles - triangle property

In an isosceles triangle, two angles are equal. Here, if we assume the equal - side property implies equal angles opposite to them. Since \(\triangle ABC\) is isosceles and we are not given any other information about which sides are equal, but in the context of the problem, the most likely case is that the angles opposite the equal sides are \(\angle CAB\) and \(\angle ABC\).

Step2: Determine the angle measure

Given \(\angle CAB = 15^{\circ}\), then \(\angle ABC=15^{\circ}\) because in an isosceles triangle, the base - angles (angles opposite the equal sides) are equal.

Answer:

C. 15°