Question

find the x in the following figure​

Answer 1

Step-by-step explanation:

it is a regular octagon and it have all sides equal.

a. let all angles be 8x

8x=1080(angle sum property of octagon)

x=1080/8= 125°

d. here length of each angle is equal so here every angle will be of 125°

here 125+x=180(linear pair)

x=180-125=55

Answer 2

Answer:

x = 135

Step-by-step explanation:

As this is a regular octagon (8 sided polygon) all the interior angles will be of the same measure.

Now, to find x we will have to first find out the sum of all angles of an octagon, which =

(n-2)180 = (8-2)180 = 1080

Now, the formula to find an interior angle of an equilateral octagon =sum of all interior angles/n

= 1080/8 = 135

As, its a regular octagon all angles are equal, hence x = 135 degree