abdallahshettima15
abdallahshettima15 abdallahshettima15
  • 07-11-2020
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three angles of a quadrilateral are 98 72 and 105 what is the exterior angle of the fourth angle​

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rdiussss
rdiussss rdiussss
  • 07-11-2020

Alrighty, the sum of all the angles of a quadrilateral, as you might know, is 360 degrees. So since you're given all the 3 angles, you can find the 4th one by subtracting the sum of all the 3 angles from 360.

[tex]360 - (98 + 72 + 105)[/tex]

which when evaluated gives,

[tex]360 - 275 = 85[/tex]

Now that's the interior angle not the exterior. To get the exterior we need to subtract the angle from 180 which gives:

[tex]180 - 85[/tex]

which evaluates to [tex]95[/tex].

Here's the diagram if needed :P

Ver imagen rdiussss
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