Question

one of the exterior angles of a triangle is 120degree and the interior opposite angles are in the ratio 3:5. find the angles of the triangle​

Answer 1

Answer:

Step-by-step explanation:

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

Lets take 3:5 as 3x and 5x

So we have 3x+5x=120

8x=120

x=120/8=15

So one angle is = 3x=3 x 15= 45

The other angle is equal to 5x= 5 x 15= 75

We know that the sum of all angles of a triangle is 180 degree, we can use this to find the third angle

45+75+x=180

x=180-(45+75)

x= 180-120

x=60 degree

Therefore the angles are 45,75 and 60 degree