Question

Find the value of x. Using the picture

Answer 1

x = 23°

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°