Question

In the given fig., find x+y+z

plz solve it​

Answer 1

Answer:

360°

Step-by-step explanation:

Let the triangle be an equilateral triangle,

∠x = 120° (Linear Pair)

∠y = 120° (Linear Pair)

∠z = 120° (Linear Pair)

∴ ∠x + ∠y + ∠z = 360°

Answer 2

Answer:

x+y+z=360 degrees

Step-by-step explanation:

We know that in a triangle, the exterior angle is equal to the sum of the two opposite interior angles.

So,

x=(180-y)+(180-z)=360-y-z

y=(180-z)+(180-x)=360-x-z

z=(180-x)+(180-y)=360-x-y

Now, adding all the equations, we get.....

x+y+z=360-y-z+360-x-z+360-x-y

⇒x+y+z=1080-2x-2y-2z

⇒ x+y+z+2x+2y+2z = 1080

⇒ 3x+3y+3z = 1080

⇒ 3(x+y+z) = 3*360

⇒ x+y+z=360

Hope it helps!

<3