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Mathematics, 27.11.2019 12:31 mandilynn22

If segment ln is congruent to segment np and ∠1 ≅ ∠2, prove that ∠nlo ≅ ∠npm:

overlapping triangles lno and pnm. the triangles intersect at point q on segment lo of triangle lno and segment mp of triangle pnm.

hector wrote the following proof for his geometry homework for the given problem:

statements reasons
segment ln is congruent to segment np given
∠1 ≅ ∠2 given
∠n ≅ ∠n reflexive property
δlno ≅ δpnm angle-angle-side postulate
∠nlo ≅ ∠npm

which of the following completes hector's proof?
angle addition postulate
converse of corresponding angles postulate
corresponding parts of congruent triangles are congruent
triangle proportionality theorem

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If segment ln is congruent to segment np and ∠1 ≅ ∠2, prove that ∠nlo ≅ ∠npm:

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