Question

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

Answer 1

Hey mate your answer is
Each angle - 60°
Sum of interior angles of triangle is 180°
Proved
Happy to help
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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°