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

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°

°

None of these

°

answer is B.

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Detailed Solution

It is given that the measure of angles of a hexagon are

x °, (x − 5) °, (x − 5) °, (2 x − 5) °, (2 x − 5) °, (2 x + 20) °

.
As we know that sum of all angles of a hexagon is

720 °

.
Now, equating sum of all given angles

x °, (x − 5) °, (x − 5) °, (2 x − 5) °, (2 x − 5) °, (2 x + 20) °

with

720 °

x ° + (x − 5) ° + (x − 5) ° + (2 x − 5) ° + (2 x − 5) ° + (2 x + 20) ° = 720 ° ⇒ 9 x − 20 ° + 20 ° = 720 ° ⇒ x = 7209 ° ⇒ x = 80 °

The value of x is 80

°

.
Hence, the correct option is 2.

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