5) 72
6) 60
7) 140
8) 175
Explanation
Let's remember the interior and exterior angle add up to 180°
so
[tex]\begin{gathered} \text{I}_{angle}+E_{angle}\text{ =180} \\ \text{subtract I}_{angle}\text{ in both sides} \\ \text{I}_{angle}+E_{angle}-\text{I}_{angle}\text{ =180 =180}-\text{I}_{angle}\text{ =} \\ E_{angle}=\text{180}-\text{I}_{angle} \end{gathered}[/tex]
then
Step 1
5)
let
interior angle= 108
replace
[tex]\begin{gathered} E_{angle}=\text{180}-\text{I}_{angle} \\ E_{angle}=\text{180}-108 \\ E_{angle}=72 \end{gathered}[/tex]
hence
5) 72
Step 2
6)
let
interior angle= 120
replace
[tex]\begin{gathered} E_{angle}=\text{180}-\text{I}_{angle} \\ E_{angle}=\text{180}-120 \\ E_{angle}=60 \end{gathered}[/tex]
hence
6) 60
Step 3
7) 40
let
interior angle= 40
replace
[tex]\begin{gathered} E_{angle}=\text{180}-\text{I}_{angle} \\ E_{angle}=\text{180}-40 \\ E_{angle}=140 \end{gathered}[/tex]
hence
7) 140
Step 4
finally,
8)5
let
interior angle= 5
replace
[tex]\begin{gathered} E_{angle}=\text{180}-\text{I}_{angle} \\ E_{angle}=\text{180}-5 \\ E_{angle}=175 \end{gathered}[/tex]
hence
8) 175
I hope this helps you
