what is the value of x in this hexagon?
what is the value of x in this hexagon?
hexagon, sum of interior angles = 720
so
x = 720 - (115 + 120 + 115 + 135 + 120)
x = 720 - 605
x = 115
The value of x in the given hexagon is 115 degrees.
The sum of the angles of a regular hexagon is 720 degrees.
According to the given question.
We have a regular hexagon in which all the measure of interior angles are given except one angle "x".
To find the value of x we use the concept of sum of the interior angles of a regular hexagon.
Therefore,
\(115+120+115+135+120+x = 720\)
⇒ \(605 + x = 720\)
⇒ \(x = 720 -605\)
⇒ \(x = 115 degrees\)
Hence, the value of x in the given hexagon is 115 degrees.
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