Question

angle 1 and an angle that measures 50° are supplementary another angle that measures 50 degrees and angle 3 are supplementary show that angle 1 and angle 3 are equal

Answer 1

∠1 ≅∠3 = 130º

1) Gathering the data, accordingly to what's been told we can write:

∠1 + ∠50º = 180º Definition of two supplementary angles

∠50 +∠3 = 180º

2) Then we can evaluate:

∠1 + ∠50º = 180º Subtract ∠50º from both sides

∠1 = 180º -50º

∠1 = 130º

∠50 +∠3 = 180º

∠3 = 180º-50º

∠3 = 130º

3) Hence ∠1 ≅∠3 = 130º because the definition of supplementary angles is the same.