500,680 views
32 votes
32 votes
Work out the value of the missing angle x

Work out the value of the missing angle x-example-1
User Talha Abrar
by
3.2k points

1 Answer

5 votes
5 votes

Answer:

x = 75°

Explanation:

sum of interior angles of any polygon can be found using this formula:

(n-2)·180°, where 'n' is the number of sides

the shape in this problem has 6-sides, a hexagon

(6-2)·180 = 720°

x + 281 + 24 + 157 + 84 + 99 = 720

x + 645 = 720

x = 720-645

x = 75°

User Mplis
by
3.0k points