Question

given: \\( \angle 1 \cong \angle 7 \\) prove: \\( \ell \parallel m \\) 19 know • \\( \angle 1 \cong \angle 7 \\) from the diagram you know • \\( \angle 1 \\) and \\( \angle 3 \\) are vertical • \\( \angle 5 \\) and \\( \angle 7 \\) are vertical • \\( \angle 1 \\) and \\( \angle 5 \\) are corresponding • \\( \angle 3 \\) and \\( \angle 7 \\) are corresponding \\( \angle 1 \cong \angle 7 \\) given \\( \angle 3 \cong \angle 1 \\) vertical \\( \triangle \\) are \\( \cong \\). need one pair of corresponding angles congruent to prove \\( \ell \parallel m \\) plan use a pair of congruent vertical angles to relate either \\( \angle 1 \\) or \\( \angle 7 \\) to its corresponding angle. \\( \angle 3 \cong \angle 7 \\) transitive property of \\( \cong \\) \\( \ell \parallel m \\) if corresp. \\( \triangle \\) are \\( \cong \\), then the lines are \\( \parallel \\). 19. the given statement is written in need know plan it is not part of the flow chart

Explanation:

The problem is about proving that two lines are parallel. The "NEED" section clearly states the goal: having one pair of congruent corresponding angles to prove \( \ell\parallel m\). This is the end - result requirement in the proof process.

Answer:

NEED