Question

Find the value of x,y and z in each of the following figures​

Answer 1

Answer:

x is 100 y 120 z 30

Step-by-step explanation:

Answer 2

Answer:

x=65, y=150, z=30

Step-by-step explanation:

From Figure,

angle AOF + angle FOC + angle BOC = 180

[Angles lie on a straight line]

→ 85 +x+30 = 180

→ x+115= 180

→ x = 180 - 115

Therefore x = 65

Also,

angle AOD = angle COB

[ vertically opposite angles]

Therefore z = 30

Also,

angle AOD +angle DOB = 180

[Angles lie on a straight line]

=> z +y = 180

=> y = 180 - 30

Therefore y = 150