Question

If ratio to two angle of a linear pair is 7:5 find the angle

Answer 1

Hey there !! Here is your answer :-

In the 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°/12 = 15°

∴ ∠AOC = 7x = 7 × 15 = 105°

and ∠BOC = 5x = 5 × 15 = 75°

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Answer 2

Answer:

Linear pair of angle=180°

Ratio of angles=7:5

let the angles be 7x,5x

7x+5x=180

12x=180

x=15

The two angles are,

7x=7(15)=105

5x=5(15)=75