What is the Sum of all exterior angles of quadrilateral?

Given :

The given shape is Quadrilateral.

To find :

We have to find the sum of all exterior angles of quadrilateral.

Solution : 

We know that,

$$Exterior angle = 180°-Interior angle$$

The sum of the interior angles of a quadrilateral is 360°.

Therefore,

Sum of the exterior angles of quadrilateral taken in an order $= 4(180°-Interior angle)$

$=4\times180°-Sum of the interior angles$

$ = 720°-360°= 360°. $

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Updated on: 10-Oct-2022

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