Interior angles of polygons

Triangle

What is the sum of all the interior angles?

540[math]^\circ[/math] 360[math]^\circ[/math] 900[math]^\circ[/math] 180[math]^\circ[/math] 720[math]^\circ[/math]

Square

What is the sum of all the interior angles?

720[math]^\circ[/math] 360[math]^\circ[/math] 900[math]^\circ[/math] 180[math]^\circ[/math] 540[math]^\circ[/math]

Pentagon

What is the sum of all the interior angles?

540[math]^\circ[/math] 180[math]^\circ[/math] 360[math]^\circ[/math] 900[math]^\circ[/math] 720[math]^\circ[/math]

Hexagon

What is the sum of all the interior angles?

720[math]^\circ[/math] 900[math]^\circ[/math] 180[math]^\circ[/math] 540[math]^\circ[/math] 360[math]^\circ[/math]

Heptagon

What is the sum of all the interior angles?

360[math]^\circ[/math] 900[math]^\circ[/math] 720[math]^\circ[/math] 180[math]^\circ[/math] 540[math]^\circ[/math]

Have a look back at the answers you have picked. Can you recognize a pattern when adding an extra side?

What do you think the pattern is?[br]

Add 180[math]^\circ[/math] each time you add a side Add 90[math]^\circ[/math] each time you add a side Add 270[math]^\circ[/math] each time you add a side Add 360[math]^\circ[/math] each time you add a side

[b]Now have a ago at using this formula:[br][br]Sum of interior angles = (n-2) x 180[br][br]See if you get the same answers.[/b]

Does the formula work only for regular polygons?

What kind of polygon is this?

Hexagon Octagon Heptagon Pentagon

Add up all the angles and also use the formula.[br]Do you get the same answers?

Yes No

Interior angles of polygons

Triangle

Square

Pentagon

Hexagon

Heptagon

Does the formula work only for regular polygons?

What kind of polygon is this?

Information: Interior angles of polygons