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Given: p || q, and r || s.

Linear pair theorem that is angle 1 is supplementary to angle 2 moves down to angle 2 equals angle 6. As for parallel lines cut by a transversal, corresponding angles are congruent. This moves down to blank box with question mark.

Prove: ∠1 and ∠14 are supplementary angles.

Two vertical parallel lines p and q runs through two horizontal parallel lines r and s to form 16 angles numbered from 1 to 16.

What is the next step in the proof? Choose the most logical approach.

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MrRoyal

See below for the proof that ∠1 and ∠14 are supplementary angles

How to prove that ∠1 and ∠14 are supplementary angles?

The attached diagram represents the missing information in the question.

The given parameters are:

  • ∠1 and ∠2 are supplementary angles
  • ∠2 = ∠6

The next step in the proof is as follows:

∠2 and ∠14 are corresponding angles.

This means that:

∠2 = ∠14

Recall that:

∠1 and ∠2 are supplementary angles

This means that:

∠1 + ∠2 = 180

Substitute ∠2 = ∠14

∠1 + ∠14 = 180

Supplementary angles add up to 180

Hence, ∠1 and ∠14 are supplementary angles

Read more about supplementary angles at:

https://brainly.com/question/2046046

#SPJ1

Ver imagen MrRoyal

Answer:

Step-by-step explanation:

the answer is D

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