Question

The angle of a heptagon are 160º, 135º, 185º, 140º, 125º, xº, xº. The value of x is _

Answer 1

Using angle sum property of heptagon
we know that sum of all angles of heptagon is 900°
$(n - 2) \times 180 \\ put \: n =7$
hence
160 + 135 + 185 + 140 + 125 + 2x = 900°
745° + 2x = 900°
2x = 155°
$x = \frac{155}{2} = 77 \frac{1}{2}$

Answer 2

hey mate here is ur ans

step 1-the total internal angle of heptagon is to find out here first

heptagon has 7 sides (n=7)
total internal angle =(2n-4)*90°
=(2*7-4)90=10*90=900°

step 2-
sum of given angles =160+135+185+140+125+2x=745+2x
thus 745+2x=900
=>2x=900-745=155
=>x=155/2=77.5°(ans)

hope it helps you frnd