Question

l and m are the intersecting lines in the given figure. Find x, y and z​

Answer 1

Answer:

40+x+y=180(linear pair)

y=3x(vertically opposite angle are equal)

40+x+3x=180

40+4x=180

4x=180-40(transposing 40left to right by subtracting)

4x=140

x=140/4(transposing by 4left to right by divide)

x=35

y=3x

y=105

40+x=z(vertically opposite angle)

40+35=z

75=z

Answer 2

Answer:

x=35, y=105, z=75

Step-by-step explanation:

Given;

3x=y

40+x=z

To find;

value of x,y and z

Solution;

3x+40+x = 180

4x+40 = 180

4x = 180 - 40

4x = 140

x  =  140 / 4

x = 35------------------------[1]

3x=y

3*35=105

y=105-----------------------[2]

40+x = z

40+35 = 75

z=75-------------------------[3]

Hope it helps u

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