Mathematics

If the sides of a triangle are produced, then the sum of the exterior angle i.e. $\angle a+\angle b+\angle c$ is equal to

${ 360 }^{ 0 }$

SOLUTION
In $\triangle ABC$,
$\angle a = \angle ABC + \angle ACB$ (Exterior angle property)
$\angle b = \angle ACB + \angle BAC$ (Exterior angle property)
$\angle C = \angle ABC + \angle BAC$ (Exterior angle property)

$\angle a + \angle b + \angle c = 2 (\angle ABC + \angle ACB + \angle BAC)$
$\angle a + \angle b + \angle c = 2 (180)$
$\angle a + \angle b + \angle c = 360^{\circ}$

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Single Correct Medium Published on 09th 09, 2020
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