Question

Find the values of x,y,z in the figure 120 degree ​

Answer 1

Answer:

z= 60°

x= 60°

y= 60°

hope it helps

Answer 2

Here,

$\textbf{z }{ \: \: \& \: \:} \textbf{exterior angle adjacent to z} \textrm{ form linear pair i.e. } \\ \tt{z + 120\degree = 180\degree} \: \: \: \: \: \: \: \cdots\rm(i)$

And,

$\textbf{x}{,} \: \bf{ y} {, } \: \rm{and} \: \: \bf{z} \textrm{ are interior angles of a triangle, so} \\ \rm{}x + y + z = 180 \degree\: \: \: \: \: \: \: \cdots\rm(ii)$

From Eqaution (i), we have,

$z = 180\degree - 120\degree \\ z = 60\degree$

Now, Putting value of z in Equation (ii), we get,

$x + y + z = 180\degree \\ x + y + 60\degree = 180\degree \\ x + y = 180\degree - 60\degree \\ x + y = 120\degree$