Question

given: lines a and b are parallel and lines c and d are transversals.
prove: \\( \angle x+\angle y+\angle z = 180^{\circ} \\)
which reason justifies statement 1?
a statement 1 is the given statement.
b triangle xyz is an isosceles triangle.
c triangle xyz is an equilateral triangle.
d the base angles of the triangle are congruent.

Explanation:

In a geometric proof, when a statement is directly provided in the problem's given information, it is justified as the "Given" statement. Here, Statement 1 "Lines A and B are parallel; Lines C and D are transversals" is exactly what was given at the start of the problem. Options B, C, and D are about properties of triangle XYZ which are not relevant to justifying Statement 1.

Answer:

A. Statement 1 is the Given statement.