Question

The angles of a hexagon are x + 10°, 2x + 20°, 2x – 20°, 3x – 50°, x + 40° and x + 20°. Find x.


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Answer 1

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x = 69°

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Step-by-step explanation:

The sum of angles in a hexagon = 720 °

${\therefore{According\ to\ the\ question....}}$

x+20° + 2x+20° + 2x-20° + 3x-50° + x+40° + x+20° = 720°

=> 10x + ( 100° - 70° ) = 720°

=> 10x + 30° = 720°

=> 10x = 720° - 30°

=> 10x = 690°

=>$x = {\frac{690°}{10}}$

=> ${\boxed{x=69°}}$