Question

The interior opposite angles of a triangle are in the ratio 2:5 one of the exterior angles are of the triangle is 133 degree. Find the angles of the triangle.

Answer 1

let the angles be 2x , 5x , y .

2x+5x =133

7x=133

x=19

2x=38

5x=95

133 + y = 180

y = 47
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Answer 2

The angles of triangle are 38° , 95° and 47°

Step-by-step explanation:

The interior opposite angles of a triangle are in the ratio 2:5

Let the ratio be x

So, Angles are 2x and 5x

One of the exterior angles are of the triangle is 133 degree.

Exterior angle property :An exterior angle of a triangle is equal to the sum of the opposite interior angles

So, $2x+5x=133$

$7x=133$

$x=\frac{133}{7}$

x=19

So, angle are:

2x=2(19)=38 m

5x=5(19)=95  m

Let the third angle be y

Angle sum property of triangle = Sum of all angles of triangle is 180°

So, 38+95+y=180

133+y=180

y=180-133

y=47

Hence The angles of triangle are 38° , 95° and 47°

#Learn more:

One of the exterior angle of a triangle is 185 degrees and the interior opposite angles are in the ratio 2 is to 5 find the angles of triangle

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