Math, asked by patlolalaxmi, 3 months ago

The angles of triangle are in the ratio 2:3:4,find the angles? With Explanation

Answers

Answered by prajapatidev002

Answer:

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Answered by sainiinswag

Three angles are = 40°, 60°, 80°

Step-by-step explanation:

Given:-

Ratio of angles of a triangle = 2 : 3 : 4

To Find:-

Find all the angles of triangle

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Ratio of angles of a triangle = 2 : 3 : 4

Therefore, First angle = 2X

==> Second Angle = 3X

==> Third angle= 4X

We know that the sum of all interior angles of a triangle is 180°

Therefore, 2X + 3X + 4X = 180°

==> 9X = 180

==> X = 180/9

==> X = 20°

Now,. First angle = 2X = 2 × 20=40°

==> Second Angle = 3X = 3 × 20 = 60°

==> Third angle = 4X = 4 × 20= 80°

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