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

Question

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

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Quinn 2 months 2021-10-05T03:40:32+00:00 2 Answers 0 views 0

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    0
    2021-10-05T03:41:39+00:00

    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

    thank you

    0
    2021-10-05T03:42:21+00:00

    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°.

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