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Three angles of a quadrilateral are 98 72 and 105 what is the exterior angle of the fourth angle​

User Kariem
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1 Answer

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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.


360 - (98 + 72 + 105)

which when evaluated gives,


360 - 275 = 85

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


180 - 85

which evaluates to
95.

Here's the diagram if needed :P

Three angles of a quadrilateral are 98 72 and 105 what is the exterior angle of the-example-1
User OverclockedTim
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