The reason that allows us to conclude that x is equal to the distance across the lake is; C: Angle-Side-Angle Postulate (ASA).
What is the Congruency Postulate?
The reason we can use to conclude that x is equal to the distance across the lake is the Angle-Side-Angle Postulate (ASA).
The ASA Congruence postulate tells us that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent..
Now, from the diagram we have one given congruent side and one given congruent angle. We see that the 1000m side and the other 2095.2m side intersect and at this point, we obtain vertical angles that are congruent.
Read more about Congruence Postulate at; https://brainly.com/question/12548126
