Question
The sum of all the exterior angles of a triangle is ___ (in degrees).
Answer:
:
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 (180−x)∘, (180−y)∘, (180−z)∘
Using angle sum property of a triangle,
(180- x) + (180- y) + (180- z) = 180
540-(x + y + z) =180
Therefore, x + y + z = 360∘
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:
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 (180−x)∘, (180−y)∘, (180−z)∘
Using angle sum property of a triangle,
(180- x) + (180- y) + (180- z) = 180
540-(x + y + z) =180
Therefore, x + y + z = 360∘
Was this answer helpful ?
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