1 Answer

Silversonic · Answer 1 · 2023-10-13T09:59:27+0000

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,

$(n-2)*180^(\circ)$

4) Given: 54 gon

$\begin{gathered} (54-2)*180^(\circ)=52*180 \\ =9360^(\circ) \end{gathered}$

5) Given: 19-gon

$\begin{gathered} (19-2)*180^(\circ)=17*180^(\circ) \\ =3060^(\circ) \end{gathered}$

6) Given: 292-gon

$\begin{gathered} (292-2)*180^(\circ)=290*180^(\circ) \\ =52200^(\circ) \end{gathered}$

7) Given: 5-gon

$\begin{gathered} (5-2)*180^(\circ)=3*180^(\circ) \\ =540^(\circ) \end{gathered}$

Please log in or register to add a comment.