If three angles of a hexagon are each x° and each of the other is 1/2 times x° find the angles

Question

asked Sep 9, 2022 97.1k views

1 Answer

JossFD · Answer 1 · 2022-09-15T07:22:40+0000

Answer:

Explanation:

The given hexagon has interior angles

x,x,x, x/2, x/2, x/2 for a total of S1=4.5x.

We also know that the sum of interior angles of any polygon of n sides is

S2=180(n-2)

For a hexagon, S2 = 180(6-2) = 720°.

Equating S1 and S2

4.5x = 720

x = 720/4.5 = 160.

Therefore substitute x in the given angles to get

{160°,160°.160°,80°,80°,80°}