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Question

The sum of all the exterior angles of a triangle is ___  (in degrees)​.


Solution

Let the exterior angles of the triangle be x, y and z respectively.

Then by exterior angle property, interior angles of the triangle will be (180x)​, (180y)​​, (180z)​​

Using angle sum property of a triangle,

(180 - x) + (180 - y) + (180 - z) = 180

540 - (x + y + z) = 180

Therefore, x + y + z = 360


Mathematics

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