Question

5. Find the value of x, y and z from fig. 22.34.
x+ 100
y 82
4x – 50
Fig. 22.34​

Answer 1

Step-by-step explanation:

x+100=4x-50

4x-x=100+50

3x=150

x=50

4x-50+y=180

200-50+y=180

y=30

z=30

Answer 2

Step-by-step explanation:

From figure,

(x+100)°=(4x-50)°..(opposite angles)

x-4x= -50-100

-3x= -150

x= -150/-3

x=50

y°=z°....(opposite angles)

(x+100)°+(4x-20)°+(y)°+(z)°=360°

(50+100)°+(4×50-20)°+(y)+(y)=360°

150°+150°+2y°=360°

300°+2y°=360°

2y°=360°-300°

2y°=60°

y=60°/2°

y=30

z=30