can you plzz explain me the 2 examle........:)

Dear Student!

Here is the answer to your query.

(1)

 By angle sum property

x + 90° + 25° = 180°

⇒ x + 115° = 180°

⇒ x = 180° – 115° = 65°

Now 25 and y form a linear pair

∴  25° + y = 180°

y = 180° – 25° = 155°

(2) 

By angle sum property

x + x + x = 180°

⇒ 3x = 180°

Now by exterior angle property

y = x + x = 60° + 60° = 120°

(3) 

By angle sum property

x + 2y + y = 180°

⇒ x + 3y = 180°  ....(1)

Now 2y and 3y from a linear pair

∴ 2y + 3y = 180°

⇒ 5y = 180°

Putting the value of y in (1) we get

x + 3 × 36° = 180°

⇒ x + 108° = 180°

⇒ x = 180° – 108° = 72°

(4)  

Since y and 110° form a linear pair

∴ y + 110° = 180°

⇒ y = 180° – 110° = 70°

Now by angle sum property

x + y + y = 180°

⇒ x + 2y = 180°

⇒ x + 2 × 70° = 180°

⇒ x + 140° = 180°

⇒ x = 180° - 140° = 40°

Cheers!