Question

in the figure x, y and z are external angles of ∆ABC then x + y + z is​

Answer 1

Answer:

360°

Step-by-step explanation:

assume it as a equilateral triangle all interior angles are 60°

therefore all exterior angles are 120°

x+60°=180°

x=120°

there would be 3x

3×120°=360°

Answer 2

Answer :-

we know that sum of ( interior + external ) angle of a triangle = 180° as they form a straight line

So ,

∠BAC = 180° - Z

∠ABC = 180° - X

∠ACB = 180° - Y

Sum of angles in a triangle = 180°

==> ∠BAC + ∠ABC + ∠ACB = 180°

180° - Z + 180° - X + 180° - Y = 180°

360° = X +Y + Z or

X + Y + Z = 360°

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