Question

in the given figure find x+y+z​

Answer 1

Answer:

Answer is option no. b i.e. 360°. Because the exterior angle is always 360°

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Answer 2

Answer:

b) 360

Step-by-step explanation:

Consider AABC in which A = 1, B = 2

and C = 3

Let the exterior angles of A, B and C be

a, b and c respectively.

Recall that sum of angles in a triangle is

180°

That is 21+ 22 + 43 = 180°

From the figure, we have

21+ a = 180° [Linear pair]

2 + b = 180° [Linear pair]

23 + C = 180° [Linear pair]

Add the above three equations, we get

21 + a + 22 + b + 43 +c = 180° + 180°

+ 180°

- (21 + 22 + 23) + a + b + c =

:540°

→ 180°+ a + b + c = 540°

» a + b + c = 540° – 180° = 360°

Thus sum of exterior angles of a triangle

is 360°.