RayceF709956 RayceF709956
  • 03-11-2022
  • Mathematics
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Write a two column proofGiven: q is parallel to r Prove: angle 1 is supplementary to angle 3

Write a two column proofGiven q is parallel to r Prove angle 1 is supplementary to angle 3 class=

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TuckM633529 TuckM633529
  • 03-11-2022

Answer:

Proved.

Explanation:

Given: q is parallel to r

Statement: m∠1 = m∠2

Reason: Vertically Opposite Angles

Statement: m∠2+m∠3=180°

Reason: Same-side Interior Angles

Recall that m∠1 = m∠2

Statement: m∠1+m∠3=180°

Reason: Congruent Angles (m∠1 = m∠2)

Therefore, angle 1 is supplementary to angle 3​.

Proved.

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