Question

Examine the table
What can you say about the angle sum of a convex polygon with a number of sides $10$?

• A. ${1440}^o$
• B. ${900}^o$
• C. ${1080}^o$
• D. None of the above

Answer 1

Answer: (A)

${1440}^o$

Observing trend we can say that if $n$ is no. of sides of polygon,

Angle sum $=(n-2)$$\times$ $180$${}^{\circ }$

$=(10-2)$ $\times$$180$${}^{\circ }$

$=8$ $\times$ $180$ ${}^{\circ }$ $=$ $1440$${}^{\circ }$

Ans : A)$1440$${}^{\circ }$