Question

One of the exterior angles of a triangle is 120° and the interior opposite angles are in ratio 2:3. What are the angles of the triangle?​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

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Step-by-step explanation:

Exterior angle = 120°

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, angle 1 = 2×24

=48°

So, angle 2 =3×24

=72°