The dotted line evenly divides the regular hexagon in two halves, dividing angle g in half. Using given information, find the to

Question

3 years ago

3

tal measure of angle g.

1 answer:

Vikki [24] · Answer 1 · 2022-06-18T13:41:55+03:00

Answer:

g=120°

Step-by-step explanation:

In a regular hexagon, all angles and sides are equal

Also, sum of angles of n-sided polygon = 180(n-2)

In a hexagon, number of sides= 6

so, sum of angles in a hexagon = 180(6-2)=720°

So, each angle in a regular hexagon is 720/6= 120°

In the figure attached, since the dotted line divided angle g into 2 halves,

so each divided angle = g/2

so complete angle is g = 120°