The proof is shown below:
What is congruency in triangles?
Congruence in two or more triangles depends on the measurements of their sides and angles. The three sides of a triangle determine its size and the three angles of a triangle determine its shape. Two triangles are said to be congruent if pairs of their corresponding sides and their corresponding angles are equal. They are of the same shape and size.
Two triangles are said to be congruent if they are of the same size and same shape. Necessarily, not all the six corresponding elements of both the triangles must be found to determine that they are congruent. Based on studies and experiments, there are 5 conditions for two triangles to be congruent. They are SSS, SAS, ASA, AAS, and RHS congruence properties.
Given that:
∠A and ∠B are supplementary angles, ∠B and ∠C are supplementary angles
So, ∠A + ∠B = 180,
∠B + ∠ C= 180 b (supplementary angles)
∠A + ∠B = ∠B + ∠C
∠A = ∠C
Hence, ∠A ≅ ∠C (if two angles have the same measure, then they are congruent).
Learn more about congruency here:
https://brainly.com/question/16835004
#SPJ2
