Question

An exterior angle of a triangle measures 110° and its interior opposite angles are in the ratio 2:3. Find the angles of the triangle.​

Answer 1

Answer:

Let the interior opposite angles be 2x and 3x

2x + 3x = 110

5x = 110

x = 110/5

x = 22

So, 2x = 44°

3x = 66°

Answer 2

Answer:

Angles of a triangle are: 44°, 66° and 70°.

Step-by-step explanation: Let the ratio be 2x and 3x.

Then,

We know that sum of interior opposite angle is equal to exterior angle of a Triangle.

    ∴  2x + 3x = 110°

  ⇒  5x = 110°

  ⇒  x = (110/5)°

 ⇒   x = 22°

So the interior opposite angle of a triangle are

                           ⇒ 2x = (2*22)° = 44°  

                           ⇒ 3x = (3*22)° = 66°

Sum of all angles of a triangle = 180°

Third angle = 180° - (44+66)°

                   = 180° - 110°

                   = 70°

Hence, the angles of a triangle are: 44°, 66° and 70°