Question

Match the polygons given on the left with their sum of interior angles given on the right.

• A. 720°
• B. 1080°
• C. 900°
• D. 1440°

Answer 1

The sum of all the interior angles of an n-sided polygon is given by: $(n-2)\times {180}^{\circ }$
Therefore, the sum of all the interior angles of
hexagon $\to$$(6-2)\times {180}^{\circ }={720}^{\circ }$
heptagon$\to$$(7-2)\times {180}^{\circ }={900}^{\circ }$
octagon$\to$$(8-2)\times {180}^{\circ }={1080}^{\circ }$
decagon$\to$$(10-2)\times {180}^{\circ }={1440}^{\circ }$