Question

Line L1 and L2 intersect at O. Find the value of x,y and z


Answer fast I mark him brainliest.​

Answer 1

Answer:z= 140° y=40° x= 140°

Step-by-step explanation:y + x= 180° (linear pair)

40 + z = 180°

180- 40 = 140°

z= 140 °

z+y = 180 °(linear pair)

140+y= 180 °

y= 180 - 140 = 40

y= 40°

y +x = 180°(linear pair)

y= 40°therefore x = 180 - 40 = 140°

you can do it in another manner

y is the vertically opposite angle of 40 therefore y=40(vertically opposite angles are equal )

y +z= 180°( linear pair)

z =180 - 40 (since y= 40 )

z=140

x is the vertically opposite angle of z therefore x= 140

(vertically opposite angles are equal )

3rd procedure

y = 40° [ Vertically Opposite Angle ]

x = z [ Vertically Opposite Angle ]

As , the total angle of the given figure is 360° ,

x + 40° + y + z = 360°

As x and z are equal we will take only one and place a two before it i.e, 2 × x

So, 2x + 40° + 40° = 360°

=> 2x + 80° = 360°

=> 2x = 360°-80°

=> x = 140° .

As I have said that y = z

z = 140°

Hope this answer was helpful my  friend

Answer 2

Answer :-

x = 140°

y = 40°

z = 140°

______________

y = 40° [ Vertically Opposite Angle ]

x = z [ Vertically Opposite Angle ]

As , the total angle of the given figure is 360° ,

x + 40° + y + z = 360°

As x and z are equal we will take only one and place a two before it i.e, 2 × x

So, 2x + 40° + 40° = 360°

=> 2x + 80° = 360°

=> 2x = 360°-80°

$=> x = \frac{280°}{2}$

=> x = 140° .

As I have said that y = z

z = 140°

Hope it helps friend !

#Be brainly