Math, asked by valikannan, 8 months ago

If the angle of triangle are in the ratio 2:3:4 determine the angles

Answers

Answered by asri44678
9

Answer:

let the ratios be x

then , angle A = 2x

B=3x

C=4x

as we a know that the sum of all three sides in a triangle is 180°

so,

A + B + C = 180°

2x + 3x + 4x = 180°

9x = 180°

x = 20°

hence

A= 2×20° = 40°

B= 3 × 20° = 60°

C = 4 ×20° = 80°

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Answered by TheMoonlìghtPhoenix
11

Answer:

Step-by-step explanation:

ANSWER:-

Given that:-

  • Angles are in the ratio 2:3:4
  • So let us consider one angle as 2x
  • Let us consider one angle as 3x
  • Let us consider one angle as 4x.

Now, we know that sum of all angles of a Triangle is 180 degree.

So, according to Question:-

2x+3x+4x = 180

9x = 180

\boxed{\sf{x = 20 \ degree}}

Now, we need to find all other angles.

  1. First angle was 2x. So 2*20 = 40 degree.
  2. Second angle was 3x. So 3*20 = 60 degree.
  3. Third angle was 4x. So 4*20 = 80 degree.

Note:-

  • The sum of all angles of a triangle is 180 degree.
  • The sum of all Quadrilateral is 360 degree.
  • Complementary angles are those whose sum is equal to 90 degree.
  • Supplementary angles are those angles whose sum equals 180 degree. Hence these all are supplementary angles.
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