Question

in a triangle if the second angle is two time the first angle and third angle is three time the first angle find the angles of the triangle ​

Answer 1

Answer:

Step-by-step explanation:

let the first angle of the triangle be x, then second angle=2x, and third angle=3x(according to the question).

then x+2x+3x=180(angle sum property of triangle)

6x=180°; x=30°; First angle=30; second angle°=60°;third angle=90°.

Thanks

Answer 2

Let the first angle be x

It is given that the second angle is two times the first angle

∴ second angle = 2x

Also, the third angle is three times the first angle

∴ Third angle = 3x

Now, we know that in a triangle sum of all angles is equal to 180

x + 2x + 3x = 180

           6x = 180

             x = 180 / 6

             x = 30

So, second angle = 2 × 30

                               = 60

Third angle = 3 × 30

                  = 90

Hence, the angles of the triangle will be 30°,60°, and 90°