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