Question

Find the value of x.

Answer 1

Answer:

x = 28.3°

Step-by-step explanation:

The polygon above has 7 sides to find x we have to find the sum of it's interior angles which is given by

(n - 2) × 180°

where n is the number of sides

Since it has 7 sides the sum of it's interior angles is

( 7 - 2) × 180 = 5 × 180 = 900°

So we have

x+139+140 + 125 + 116+152 + 2x + 143 = 900

3 x + 815 = 900

3x = 900 - 815

3x = 85

Divide both sides by 3

x = 28.3°

Hope this helps you