Question

one of the exterior angle of a triangle is 120 and the interior opposite angles are in the ratio 2 is to 3 find the angles of triangle

Answer 1

2x +3x =120
5x=120
X=120/5
X=24
2x=interior angle =48
3x= interior angle =72

Answer 2

Heya mate, Here is ur answer

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°

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@Laughterqueen

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