mbdwillmom mbdwillmom
  • 25-06-2022
  • Mathematics
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Given: ∠E and ∠F are supplementary and ∠F and ∠G are supplementary.

Prove: ∠E≅∠G

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Medunno13
Medunno13 Medunno13
  • 25-06-2022

1) ∠E and ∠F are supplementary and ∠F and ∠G are supplementary (given)

2) m∠E+m∠F=180 degrees, m∠F+m∠G=180 degrees (supplementary angles have measures that add to 180 degrees)

3) m∠E=m∠G (subtraction property of equality)

4) ∠E≅∠G (angles with equal measure are congruent)

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