Question

the angles in a triangle are in the ratio 1:2:9 find the size of greatest angle​

Answer 1

Answer:

Let the constant be n.

Sum of all angles of triangle is 180°.

According to the given condition.

n+2n+9n=180

12n=180

n=180/12

n=15

Greatest angle=9n=9(15)=135°.

Answer 2

Answer:

The ratio of the angles of a triangle = 1:2:9

Step-by-step explanation:

The first angle = x

second angle =2x

The third angle =9x

According to angle sum property of a triangle,

x+2x+9x = 180°

12x =180°

x=180°/12

x=15°

Now

The first angle = x

                        = 15°

second angle =2x

                      =2 X 15°

                      = 30°  

The third angle =9x

                          = 9 X 15°

                          = 135°

I hope it helped you

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