Question

The ratio of the biggest and second biggest angle of a triangle is 3:2. The smallest angle is
20% of the sum of the biggest & second biggest angle. What is the sum of the smallest &
second biggest angle.​

Answer 1

Answer:90

Explanation:

Let the angles are a , b , c.

Angle 'a' be the biggest angle.

Angle 'b' be the second biggest angle.

Given,

a/b=3/2

Then,a=3x , b=2x

Given,c=20%of(a+b)

By solving we get, c=x

By angle sum property

a+b+c=180

3x+2x+x=180

x=30

Then,b+c=2x+x=3x=3(30)=90.