Web2. Work out the sum of the interior angles for a polygon with: a. 20 sides b. 45 sides c. 100 sides 3. The interior angles of a polygon add up to 2880°. Work out the number of sides … WebThe sum of interior angles of a regular polygon is twice the sum of its exterior angles. Sum of all interior angles of a regular polygon = 180 o(n−2) where n= number of sides of polygon Sum of all exterior angle of a regular polygon = 360 o According to question, 180 o(n−2)=2×360 o =>(n−2)=4 =>n=6 Number of sides of the polygon =6

Interior Angles in Convex Polygons ( Read ) Geometry

WebFind the sum of the measures of the interior angles of a polygon of n sides if: a n=6 b n=8 arrow_forward Find the number of sides for a polygon whose sum of the measures of its … Web3 Apr 2024 · First, the sum of the interior angles of any polygon is determined by the number of sides it has. Second, the interior angles of any polygon can be calculated using a … barath

Sum of the Interior Angles of a Polygon - YouTube

WebSum of interior angles of polygon =10 right angles =10×90 o=900 o (given) But sum of interior angles of a polygon =(2n−4) right angles. i.e.900=(2n−4)×90 o ⇒180n−360=900 ⇒180n=900+360 ⇒n= 1801260 ⇒n=7 Hence the required number of sides =7 Was this answer helpful? 0 0 Similar questions Web1 May 2016 · $\begingroup$ @nyorkr23 Let's say you do know that the sum of the angles on a triangle is $180^o$. Only using this, try to prove that the sum of the angles of a square is $360^o$.Then try to do the same with a pentagon, hexagon, etc... You will probably come with a procedure which works on all polygons, where you "simplify" the problem of … Web4 May 2014 · ppt, 272.5 KB. doc, 38.5 KB. Activity to investigate the sum of the interior angles of polygons. Worksheet and accompanying powerpoint slides. Tes classic free licence. Report this resource to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch. Last updated. barath balu