Question

one of the exterior angles of a triangle is 130 degree and the interior opposite angles are in the ratio 2: 3 find the angles of the triangle

Answer 1

let interior opp angles be 2x and 3x

exterior angle = sum of interior opp angles

130 = 2x + 3x

5x = 130

x = 26

Answer 2

Given that,

One of the exterior angles of a triangle is 130 degree and the interior opposite angles are in the ratio 2: 3.

To find,

The angles of the triangle.

Solution,

The ratio of the interior opposite angles are 2:3. Let they are 2x and 3x.

We know that the sum of the interior opposite angles of a triangle is equal to exterior angles.

So,

2x+3x=130

5x=130

x=26°

First angle is 2x=2(26)=52°

Second angle is 3x=3(26)=78°

Third angle=180-(52+78)=50°

Hence, the angles of a triangle are 52°, 78° and 50°.