Question

The measures angles of hexagon are 4x,5x, 6x,7x,8x, and 9x. Calculate the size of the largest angle

Answer 1

Answer:

$Sum of all interior angles of a polygon of n sides = (n-2)*180Thus, sum of all interior angles of hexagon,(6-2)*180\\=4*180\\=720\ degrees or 720°.=>6x+4x+5x+6x+7x+8x=720\\=>36x=720\\=>x=\frac{720}{36}= 20\ degrees$

∴  

∠1 = 4x = 80°

∠2 = 5x = 100°

∠3 = 6x = 120°

∠4 = 7x = 140°

∠5 = 8x = 160°

∠6 = 9x = 180°