Question

If one angle of a traingle is 60 and the other two angles are in the ratio 2:3 find these angles

Answer 1

Total angles of a triangle = 180

sum of other 2 angles = 180 - 60 = 120

total ratio = 3 + 2 = 5

divide 120 by 5 , = 24

multiply the ratio 2:3 by 24 , you get 48:72

So the angles are 48, 72 and 60 degrees

Answer 2

Let the ratio be x
then the first angle 2x and the second angle 3x
A.T.Q.
sum of all angles of a triangle =180 degree
or, 60 + 2x +3x=180
or, 60 + 5x =180
or, 5x =180 - 60 =120
therefore x =120 ÷ 5
x = 24

first angle = 2x = 2× 24 = 48
second angle = 3x= 3 × 24= 72