1. why angles of a hexagon are 122 degree 95 degree 80 degree 135 degree and 125 degree find the sixth angle ?
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Solution:
Given:
The angles of a hexagon are 122°,95°, 80°, 135° and 125° respectively.
To find -
The sixth angle of the hexagon
To know:
- Hexagon is a six-sided polygon.
- The sum of all the interior angles of a hexagon
=> (n-2) ×180° (where 'n' is the no. of sides)
=> (6-2) ×180°
=> 4×180°=720°
Let the sixth angle be x.
Now, 122°+95°+ 80°+135°+125°+x=720°
=> 557°+x=720°
=> x =720°-557°
= > x= 163°
Therefore, the measurement of sixth angle is 163°.
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