Question

one side of a triangle is produced and exterior angles so formed is 120 degree . if the interior opposite angles are in the ratio 2 is to 3 find the measure of each angle of the triangle

Answer 1

2x +3x = 180
5x =180
so 5x=180
x=180\5
x= 36
so 2x= 2

Answer 2

Answer:

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°