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Work out the value of the missing angle x

Work out the value of the missing angle x-example-1
User DPH
by
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1 Answer

11 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 Yuri Grinshteyn
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4.9k points