The measure of angles of a hexagon are x°, (x − 5)°, (x − 5)°, (2x − 5)°, (2x − 5)°, (2x + 20)°. Find the value of x.

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Solution

$Since the sum of all the angles of a hexagon is 720 °, we get : x ° + (x - 5) ° + (x - 5) ° + (2 x - 5) ° + (2 x - 5) ° + (2 x + 20) ° = 720 ° \Rightarrow x ° + x ° - 5 ° + x ° - 5 ° + 2 x - 5 ° + 2 x - 5 ° + 2 x + 20 ° = 720 ° \Rightarrow 9 x - 20 ° + 20 ° = 720 ° \Rightarrow 9 x = 720 ° ∴ x = 80$

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