Question

one of exterior angles of triangle is 120 and the interior opposite angles are in ratio 1:5. Find the angles of the triangle

Answer 1

let the exterior angles be 1x, 5x
1x + 5x = 120° (exterior angles property)
6x = 120°
x = 20°

so, angles are 20°, 100°, 60°


hope this helps

Answer 2

Step-by-step explanation:

One of the exterior angle of a triangle is 120

 and its interior opposite angles are in the ratio 5 : 3. Find all the angles of the triangle.Step-by-step explanation:

Exterior angle = 120° (given)

Interior opposite angles = 1 : 5

Let the common ratio be x.

So, interior opposite angles are x and 5x .

We know that,

By exterior angle property of a triangle

Exterior angle is equal to sum of interior opposite angles

⟹ 120° = x + 5x

⟹ 120° = 6x

⟹ 120°/6= x

⟹ 20° = x

So, ∠ 1 = x = 20° ans.

So, ∠ 2 = 5x × 20 =100° ans.