Question

find the values of x, y and z in each of the figures given below ​

Answer 1

Answer:

x = 75°     y = 65°    z = 115°

Step-by-step explanation:

Here, (x - 10)° and (x + 40)° are a linear pair.

∴ x - 10° + x + 40° = 180°

2x + 30° = 180°

2x = 150°

x = 75°

y and x - 10° are vertically opposite,

∴y = x -10°

y = 75° - 10°

y = 65°

z and x + 40° are vertically opposite,

∴z = x + 40°

z = 75° + 40°

z = 115°

Answer 2

Answer:

x=75°,y=56°,z=115°

Step-by-step explanation:

(x-10) + (x+40) = 180° [Linear pair]

2x+30°=180°

2x=150°

x=75°

x-10 = y [ vertically opposite angles]

75-10=y

y=56°

x+40=z [vertically opposite angles]

75+40=z

z=115°