Question

One of the exterior angles of a triangle is 120° and the interior opposite angles of it are in the ratio 4 : 2. Find the angles of the triangle.

Answer 1

Given :-

Exterior Angle of Triangle = 120°

Interior Opposite Angles = 4:2

To Find :-

Angles of the Triangle .

Solution :-

Let the interior opposite angles be 4x and 2x .

As we know that , the sum of the interior opposite angles is equal to exterior angle.

Now :

4x + 2x = 120

6x = 120

x = 120/6

$\sf{x=20}$

So , The value of x is 20 ..

Therefore , The two interior opposite angles are 80 and 40 ..