1.

In a triangle, if the second angle is two times the first angle and third angle is three times the first angle , find the angles of the triangle . ​

Answer»

Given

  • In a triangle, if the SECOND angle is TWO times the first angle and THIRD angle is three times the first angle

To find

  • the angles of the triangle .

Solution

★ Let the first angle is x° in a triangle

Then , the second angle → 2x

and , the third angle → 3x

As , sum of the angles in a triangle is 180°

So , x° + 2x° + 3x° = 180°

→ 6x° = 180°

→ x° = 180 / 6

→ x° = 30°

Therefore , angles are

  • x = 30° ,
  • 2x = 60° ,
  • 3x = 90° .



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