Question

Two adjacent angles forming a linear pair are in the ratio 7:5, find the angles.

Answer 1

In the given figure, ∠AOC and ∠BOC are adjacent angles which form a linear pair

∴ ∠AOC  ∠BOC  = 180°

But ∠AOC : ∠BOC = 7 : 5

Let ∠AOC = 7x and ∠BOC = 5x

∴ 7x + 5x = 180°

⇒ 12x = 180°

⇒ x = `180^circ/12 = 15^circ`

∴  ∠AOC = 7x = 7 × 15 = 105°

and ∠BOC = 5x = 5 × 15 = 75°