Math, asked by SpamReporter, 1 month ago

1. why angles of a hexagon are 122 degree 95 degree 80 degree 135 degree and 125 degree find the sixth angle ?​

Answers

Answered by IceWeb
34

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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