We know that AB is congruent to CB. This means that both sides have the same length. Let's use the given information to mark the congruent sides of the given figure.
Since we have a triangle with two congruent sides, we can state that the given triangle is an isosceles triangle. We want to name two congruent angles. To do so, we will use the Isosceles Triangle Theorem.
Isosceles Triangle Theorem
If two sides of a triangle are congruent, then the angles opposite those sides are congruent.
Using this theorem, we can identify the congruent angles.
Therefore, ∠CAB is congruent to ∠BCA.
∠CAB≅ ∠BCA
Extra
Isosceles Triangle
An isosceles triangle is a triangle that has two congruent sides called legs. The angle between these two sides is called vertex angle and its opposite side is called the base. The angles formed by the legs and the base are called base angles. Base angles are congruent.
