Question

The greatest angle of a triangle is 30° more than the least and the third angle is 15° less than the greatest. Find the angles.

Answer 1

let the least angle be x
greatest angle be 30+x
third angle be (x+30)-15
according to question
x+30+x+x+30-15=180(by angle sum property)
3x+60-15=180
3x+45=180
3x=180-45
3x=135
x=45
and, 30+x=45+30=75
x+30-15=45+30-15=60

Answer 2

HEY MATE HERE IS YOUR ANSWER

The least angle is= X
The Greatest angle is= X+30
The third angle= X+30-15
=X+15
We know that sum of angles of triangle =180

$= > x + 30 + x + x + 15 = 180\\ = > 3x + 45 = 180 \\ = > 3x = 180 - 45 \\ = > 3x = 135 \\ = > x = 45$
hence
The smallest angle =45
The Greatest angle =75
The third angle =60

HOPE IT HELPS YOU

FOLLOW ME FOR ANY OTHER QUESTIONS