Question

Of the three angles of a triangle, one is twice the smallest and another is three times the smallest. Find all angles. (Please elaborate and answer)

Answer 1

let smallest angle of triangle be x
then,one angle be 2x and another be 3x
by angle sum property,
we know that angle a +b+c=180
therefore, x+2x+3x=180
6x=180
x=180÷6
x=30
therefore,the smallest angle of triangle is 30
one of the angle be 2×30=60
and another becomes,3×30=90

verification,
30+60+90=180
hence the angle sum property of a triangle is verified.........