Question

Given: Line l and Line m intersect. Prove: A vertical angle and linear pair of m, n, and values of 1, 2, 3, and 4 complete the proof.

a) Insufficient information
b) Vertical angles are congruent
c) Linear pairs are supplementary
d) Lines l and m are parallel

Answer 1

The provided information suggests concepts of congruent vertical angles and supplementary linear pairs when two lines intersect, but is insufficient for proving line parallelism.

Step-by-step explanation:

The question posed relates to geometry, specifically involving concepts like vertical angles, linear pairs, and properties of intersecting lines. However, the information given in the question is incomplete to provide a formal proof regarding the relationships between angles when two lines intersect.

This is because vertical angles share a common vertex and their sides are formed by the same lines, therefore, they must have equal measure. Linear pairs are pairs of adjacent angles that form a straight line, and the sum of their measures is 180 degrees. The statement regarding lines being parallel is unrelated to the initial context of intersecting lines, and more information would be needed to determine parallelism.