We know that total angle for a plane is 180°. So, to find $ \sf \angle2$,
$ \to \sf 180° - 130° $
$ \longrightarrow \bf 50° $
And so, $ \sf \angle2 = 50° = \angle4 \ \ \{ Vertical \ Angles \}$
And now, $ \sf \angle5 , \angle6 , \angle7 , \angle8 $ are left. And to find these, we will use the $ \sf \angle1 , \ and \ \angle2 $ only. As follows,
Answers & Comments
Here, to find all the other angle's values, we should find the opposite and corresponding angles of '1'.
And, to find those corresponding and opposite angles, we should,
And so,
$ \sf \: \angle1 = \angle3 \ \ \{ Vertical \ Angles \}$
$ \to \sf \angle3 = 130° $
Now, to find $\sf \angle{2}$,
We know that total angle for a plane is 180°. So, to find $ \sf \angle2$,
$ \to \sf 180° - 130° $
$ \longrightarrow \bf 50° $
And so, $ \sf \angle2 = 50° = \angle4 \ \ \{ Vertical \ Angles \}$
And now, $ \sf \angle5 , \angle6 , \angle7 , \angle8 $ are left. And to find these, we will use the $ \sf \angle1 , \ and \ \angle2 $ only. As follows,
$ \sf \angle1 = 130° = \angle5 \ \ \{ Corresponding \ Angles \}$
$ \sf \angle2 = 50° = \angle6 \ \ \{ Corresponding \ Angles \}$
$ \sf \angle6 = 50° = \angle8 \ \ \{ Veritical \ Angles \} $
$ \sf \angle5 = 130° = \angle7 \ \ \{ Vertical \ Angles \} $
And, so, we finally received all angles, let's write all angles and their measures as below as final answers.
Final Answer :
[tex]\boxed{\begin{aligned} \bf ★ \ \ \qquad \angle1 = 130° \\ ★ \ \ \qquad \bf \angle2 = 50° \\ ★ \ \ \qquad \bf \angle3 = 130° \\★ \ \ \qquad \bf \angle4 = 50° \\ ★ \ \ \qquad \bf \angle5 = 130° \\★ \ \ \qquad \bf \angle6 = 50° \\★ \ \ \qquad \bf \angle7 = 130° \\★ \ \ \qquad \bf \angle8 = 50° \end{aligned}}[/tex]