Question

In the adjoining figure, find the value of x,y and z. ​

Answer 1

Answer:

x=75°

y=60°

z=120°

Step-by-step explanation:

x=180-105 - [linear pair of angle]

x=75°

x+y+45=180°

75°+y+45=180°

120°+y=180°

y=180-120

y=60°

z=180-60[linear pair of angle]

z=120°

Answer 2

Answer:

x = 75°, y = 60°, z = 120°

Step-by-step explanation:

∠CAB = 45 (Given)

∠DCB + ∠ACB = 180 (because of being linear pair)

105 + ∠ACB = 180

∠ACB = 180-105 = 75

x = ∠ACB = 75 (Given)

∠x + ∠y+∠CAB = 180 (Sum of all interior angles of triangle is 180)

75 + ∠y + 45 = 180

∠y = 180 - 120

∠y = 60

∠z + ∠y = 180 (linear pair)

∠z = 180 - 60 = 120

hence x = 75, y = 60, z = 120