Question

One of the exterior angle of a triangle is 120 degree and its interior opposite angle are in the ratio 2 ratio 3 find the angle of the triangle.​

Answer 1

Answer:

let the ratio constant be x

2x &

3x

Step-by-step explanation:

since;

exterior angle =sum of 2 opp. interior angle

120=2x+3x

120=5x

120/5=x

x=24 (Ans)

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Answer 2

Step-by-step explanation:

Step-by-step explanation:

Exterior angle = 120° (given)

Interior opposite angles = 2: 3

Let the common ratio be x.

So, interior opposite angles are 2x and 3x .

We know that,

By exterior angle property of a triangle

Exterior angle is equal to sum of interior opposite angles

⟹ 120° = 2x + 3x

⟹ 120° = 5x

⟹ 120°/5=x

⟹ 24=x

So, ∠ 1 = 2 × 24 = 48°

So, ∠ 2 = 3 × 24 =72°