Alhertany
Alhertany Alhertany
  • 19-01-2021
  • Mathematics
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the acute angle of a right-angled triangle are in the radio of 3:7. find the angles​

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musiclover10045
musiclover10045 musiclover10045
  • 19-01-2021

The right angle is 90 degrees.

The 3 inside angles are a total of 180 degrees.

The two acute angles would need to equal 180-90 = 90 degrees.

Using the ratio you have 3x + 7x = 90

Simplify to get 10x = 90

Divide both sides by 10 to get x = 9

Now you have the two angles:

Angle 1 = 3 x 9 = 27

Angle 2 = 7 x 9 = 63

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