Question

one of the exterior angle of the triangle is 120 degree and the interior opposite angles are in ratio 5 ratio 3 find the angles of the triangle ​

Answer 1

one of the exterior angle=120°

opposite interior angles are in ratio 5 and 3.

5x+3x=180°

8x=180°

X=180/8

X=22.5

extra=120.

120=5x+3x

120=8x

X=15

Answer 2

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°