Question

CAN YOU TELL ME THE ANSWERS ​

Answer 1

Answer:

1. Angle vertically opposite to ∠YOZ is ∠XOW.
2. ∠XOZ form a linear pair with ∠XOW.
3. ∠POY = 55°

Step-by-step explanation:

3:

∠XOZ and ∠XOW are in linear pair.

∴∠XOZ + ∠XOW = 180°

130° + ∠XOW = 180°

∴∠XOW = 180 - 130

∴ ∠XOW = 50°

Now ∠XOW + ∠WOP = ∠XOP

∴ 50° + 75° = ∠XOP

∴ ∡ XOP = 125°

Now ∠XOP & ∠POY are in linear pair

∴∠XOP + ∠POY = 180°

∴ 125° + ∠POY = 180°

∴ ∠POY = 180 - 125

∴ ∠POY = 55°