Question

06. ''l'' and ''m" are the intersecing lines in the given figure. Find x, y and z. ​

Answer 1

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    .------.(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    .-----...(2)

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

Therefore, z+y=180

⟹y+75=180 (from (2))

⟹y=105    .-----.(3)  

Therefore, x=35  

*y=105  

*z=75  

Answer 2

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• ''l'' and ''m" are the intersecing lines in the given figure

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

$Therefore, {x+40+3x=180}.$

$⟹4x+40=180$

$⟹4x=140$

$⟹x=35   (1)$

• Angles z,3x lie on the straight line l.  

$Therefore, z+3x=180$

${⟹z+3(35)=180 (from (1)}$

$⟹z+105=180$

$⟹z=75    (2)$

• angles z,y lie on the straight line m.  

$Therefore, z+y=180$

${⟹y+75=180 (from (2)}$

$⟹y=105    (3)$

$Therefore, x=35$

$y=105 \\z=75$

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