Question

In the given figure | || m ll n.
Find the value of x, y and z.​

Answer 1

Answer:

z+10=3x-60......corresponding angles

3x-z=10+60

3x-z=70.....(1)

3x-60=x+20....alternate angles

3x-x=20+60

2x=80

x=80/2

x=40

put x=40in (1)

3x-z=70

3*40-z=70

120-z=70

z=120-70=50

z=50

y+3x-60=180.....angle in linear pair

y+3*40-60=180

y+120-60=180

y=180-60=120

y=120

hence x=40,y=120,z=50.

Answer 2

Answer:

z + 10 = 3x - 60 corresponding angles

3x - z = 10 + 60

3x - z =70....(1)

3x - 60 = x + 20 ....alternate angles

3x - x = 20 + 60

2x = 80

x = 80/2

x = 40

put x=40in (1)

3x - z = 70

3^ * 40 - z = 70

120 - z = 70

z = 120 - 70 = 50

z=50

v + 3x - 60 = 180 .....angle in linear pair

y+3^ * 40 - 60 = 180y + 120 - 60 = 180

y = 180 - 60 = 120

y = 120

hence x = 40, y = 120, z = 50