Question

l and m are the interseting lines in given figure
find x , y , z​

Answer 1

Answer:

From the figure, angles x,40,3x lie on the straight line m.  

Therefore, x+40+3x=180

⟹4x+40=180

⟹4x=140

⟹x=35  

0

 .......(1)

From the figure, angles z,3x lie on the straight line l.  

Therefore, z+3x=180

⟹z+3(35)=180 (from (1))

⟹z+105=180  

⟹z=75  

0

 .......(2)

From the figure, angles z,y lie on the straight line m.  

Therefore, z+y=180

⟹y+75=180 (from (2))

⟹y=105  

0

 .......(3)

Therefore, x=35  

0

,y=105  

0

,z=75  

0

 

Step-by-step explanation:

Answer 2

Step-by-step explanation:

40+x+y=180

x+y=140

but

y =3x

x+3x=140

4x=140

x=35

y=35*3=105

z=40+x

z=40+35

z=75