KyleMelissa26
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In a right angle triangle, the two acute angles are in the ratio of 2: 3 . find the angles .

( please help me with my assignment question correctly ) ​

Respuesta :

Avcad0rable

Answer

  • x = 18
  • 36
  • 54

Solution:-

  • Ratio of the two acute angles = 2 : 3
  • Let the angles be 2x , 3x

In the right angled triangle, the measure of one angle is 90° By sum angle property ,

  • 2x + 3x + 90 = 180

Now collect the like terms ,

  • 5x + 90 =80

Subtract 180 by 90 ,

  • 5x = 180 - 90 5x = 90

Now , divide 90 by 5 ( 90 ÷ 5 = 18 )

  • x = 90/5

  • x = 18

The measure of the angles are :-

  • 2x = 2 × 18 = 36
  • 3x = 3 × 18 = 54

Hope it helps ~

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