5.
The angles ∠1 and 112° are vertical angles, therefore they are congruent.
So we have ∠1 = 112°
Angles ∠1 and ∠3 are corresponding angles, therefore they are congruent.
So we have ∠3 = 112°
Angles ∠2 and ∠3 are supplementary angles, so we have:
[tex]\begin{gathered} \angle2+112\degree=180\degree \\ \angle2=68\degree \end{gathered}[/tex]
6.
Angles ∠1 and 45° are corresponding angles, therefore they are congruent.
So we have ∠1 = 45°
Angles ∠1 and ∠2 are corresponding angles, therefore they are congruent.
So we have ∠2 = 45°
Angles 45° and ∠3 are consecutive interior angles, therefore they are supplementary.
So we have:
[tex]\begin{gathered} \angle3+45=180 \\ \angle3=145\degree \end{gathered}[/tex]
