To find the sum of the measures of the interior angle of each convex polygon:
The sum of the measures of the interior angle formula for n-gon is,
[tex](n-2)\times180^{\circ}[/tex]
4) Given: 54 gon
[tex]\begin{gathered} (54-2)\times180^{\circ}=52\times180 \\ =9360^{\circ} \end{gathered}[/tex]
5) Given: 19-gon
[tex]\begin{gathered} (19-2)\times180^{\circ}=17\times180^{\circ} \\ =3060^{\circ} \end{gathered}[/tex]
6) Given: 292-gon
[tex]\begin{gathered} (292-2)\times180^{\circ}=290\times180^{\circ} \\ =52200^{\circ} \end{gathered}[/tex]
7) Given: 5-gon
[tex]\begin{gathered} (5-2)\times180^{\circ}=3\times180^{\circ} \\ =540^{\circ} \end{gathered}[/tex]
