the angles of a triangle are in the ratio 2:3:4 . Find the difference between larger angle to smaller ?​

Question

the angles of a triangle are in the ratio 2:3:4 . Find the difference between larger angle to smaller ?​

in progress 0
Bella 3 weeks 2021-10-04T15:08:52+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-04T15:10:08+00:00

    Answer:

    Step-by-step explanation:

    Let’s assume a triangle ABC with angles, <A, <B and <C.

    Given, <A : <B : <C is equal to 2:3:4, let’s assume the values of angles as,

    <A = 2x

    <B = 3x

    <C = 4x,

    x is a whole number. You can see that we have taken the values of angles such that they are still in the ratio 2:3:4.

    Now, we know that the sum of all the angles of a triangle is 180°.

    So, in triangle ABC

    <A + <B + <C = 180°

    Putting values of angles,

    2x + 3x + 4x = 180°

    9x = 180°

    x = 180°/9

    x = 20°

    So, angles are as follows,

    <A = 2(x) = 2(20°) = 40°

    <B = 3(x) = 3(20°) = 60°

    <C = 4(x) = 4(20°) = 80°Let’s assume a triangle ABC with angles, <A, <B and <C.

    Given, <A : <B : <C is equal to 2:3:4, let’s assume the values of angles as,

    <A = 2x

    <B = 3x

    <C = 4x,

    x is a whole number. You can see that we have taken the values of angles such that they are still in the ratio 2:3:4.

    Now, we know that the sum of all the angles of a triangle is 180°.

    So, in triangle ABC

    <A + <B + <C = 180°

    Putting values of angles,

    2x + 3x + 4x = 180°

    9x = 180°

    x = 180°/9

    x = 20°

    So, angles are as follows,

    <A = 2(x) = 2(20°) = 40°

    <B = 3(x) = 3(20°) = 60°

    <C = 4(x) = 4(20°) = 80°

    then the diffrence is 40°

    0
    2021-10-04T15:10:49+00:00

    Answer:

    40

    Step-by-step explanation:

    Let common multiple be x

    Angles are 2x , 3x and 4x

    2x + 3x + 4x = 180…..Angle sum property

    9x = 180

    x = 20

    Largest angle = 4x = 80

    Smallest angle = 2x = 40

    Difference = 80 – 40 = 40

Leave an answer

Browse
Browse

18:9+8+9*3-7:3-1*13 = ? ( )