Question

find the values of X,Y and Z
PLS GIVE ALL THE STEPS TO SOLVE

Answer 1

Answer:

• x = 115°
• y = 140°
• z = 40°

Step-by-step explanation:

Consider line AB.

By Linear pair of angles,

   ∠COA + ∠COP + ∠POB = 180°

⇒ 40° + x + 25° = 180°

⇒ x + 65° = 180°

∴ x = 115°

Now, AB and CD are 2 straight lines. So their Vertically Opposite Angles would be equal.

   ∠COA = ∠BOD

⇒ 40° = z

∴ z = 40°

Next, Consider the below part of line AB.

Again, By Linear Pair of Angles;

   ∠AOD + ∠BOD = 180°

⇒ y + z = 180°

⇒ y + 40° = 180°

⇒ y = 180° - 40°

∴ y = 140°