Question

What value of y would make AOB a line in below fig, if ∠AOC = 4y and ∠BOC = (6y +
30)

Answer 1

Since `∠`AOC, `∠`BOC are linear pair

⇒ `∠`AOC + `∠`BOC = 180°

⇒ 6 y + 30 + 4 y = 180°

⇒ 10 y + 30 = 180°

 ⇒ 10 y = 180° - 30°

⇒ 10 y = 150°

⇒ y = `(150°)/10`

⇒ y = 15°