Question

The two interior opposite angles are in the ratio 1:3. If the exterior angle measures 124°, then finde the measure of the interior opposite angles.​

Answer 1

Step-by-step explanation:

Let the interior angles be x and 3x 

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

⇒x+3x=80∘⇒4x=80∘⇒x=20∘

So the angles are 

x=20∘3x=3×20∘=60∘

Answer 2

Answer:

Let the interior angles be x and 3x  

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

⇒x+3x=80  

∘

 

⇒4x=80  

∘

 

⇒x=20  

∘

 

So the angles are  

x=20  

∘

 

3x=3×20  

∘

=60  

∘