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 .
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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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