Question

find the value of x y and z​

Answer 1

Step-by-step explanation:

45°+x+60°=180°

x+105°=180°

x=180°-105°

x=75°

y=45° ...(vertically opposite angle)

y+z=180°

45°+z=180°

z=180°-45°

z=135°

Answer 2

☘️ Solution :

• Value of x :

→ 45° + x + 60° = 180°

(linear pair)

→ 100° + x = 180°

→ x = 180° - 105°

→ x = 75°

• Value of y :

→ x + 60° + y = 180°

(linear pair)

→ 75° + 60° + y = 180°

→ 135° + y = 180°

→ y = 180° - 135°

→ y = 45°

• Value of z :

→ z + y = 180°

(linear pair)

→ z + 45° = 180°

→ z = 180° - 45°

→ z = 135°

__________________

Verification :

→ 60° + x + 45° + z + y = 360°

(Complete angle)

→ 60° + 75° + 45° + 135° + 45° = 360°

→ 360° = 360°

.°. LHS = RHS

Hence, verified.

__________________

☘️ Answer :

• x = 75°
• y = 45°
• z = 135°