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Sum of all the exterior angles of a triangle is equal to degrees.
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Solution
We know that the exterior angle of a triangle has a measure equal to the sum of the measure of the opposite interior angles.
∴ The measure exterior angles are shown in the following figure:
Sum of all the exterior angles of the triangle is (m∠Z+m∠X)+(m∠Y+m∠Z)+(m∠X+m∠Y) =2((m∠Z+m∠X+m∠Y) =2×(Sum of interior angles) =2×(180o) =360o