Question

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Sum of all the exterior angles of a triangle is equal to degrees.

Answer 1

We know that the exterior angle of a triangle has a measure equal to the sum of the measure of the opposite interior angles.

$\therefore$ The measure exterior angles are shown in the following figure:

Sum of all the exterior angles of the triangle is
$(m\angle Z+m\angle X)+(m\angle Y+m\angle Z)+(m\angle X+m\angle Y)$
$=2\left(\right(m\angle Z+m\angle X+m\angle Y)$
$=2\times \left(\text{Sum of interior angles}\right)$
$=2\times \left({180}^o\right)$
$={360}^o$