Answer:
x = 23°
Step-by-step explanation:
- The figure given below is an irregular polygon with 7 sides
- The polygon is therefore an irregular heptagon.
We are required to determine the value of x
- We know the sum interior angles of a polygon is given by;
- Sum of interior angles = (n-2) 180 , where n is the number of sides
Therefore, in this case;
Sum of interior angles = (7 - 2 ) 180
= 900°
Hence;
7x° + 2x° + 8x° + 60° + 10x° + 8x° + 35° = 900°
35x° + 95° = 900°
35x° = 805°
x = 23°
Thus, the value of x is 23°
