Question

The sum of the angles in a convex 10-sided polygon is: (Points : 2)
1800°
188°
3600°
1440°

Answer 1

I always forget the formula for finding this directly
i do them using the fact that the sum of the external angles of all convex polygons add up to 360 degrees

so here we have 10 angles so ext angle = 360/10 = 36 degrees
that means internal angles of regular 10 sided polygon = 180-36 = 144 degrees

i leave you to do the rest

Answer 2

\(\bf \textit{sum of internal angles of a polygon}=180({\color{red}{ n}}-2)\qquad {\color{red}{ n}}=\textit{amount of sides}\)