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If two acute angles of a right angled triangle are in the ratio 1:2, Find them.​

2 Answers

1 vote

Answer:

Let the angles be x and 2x.

We know that the sum of all interior angles of a triangle is 180°.

Therefore,

  • x+2x+90 = 180
  • 3x+90 = 180
  • 3x = 180-90
  • x = 90/3
  • x = 30

Angles,

  • 90°
  • x = 30°
  • 2x = 2×30 = 60°

User Niema
by
8.2k points
1 vote

Answer:

30°,60°,90°

Explanation:

Let :-

  • Ratio = 1x : 2x

As we know :-

  • Sum of all angles = 180°

So that ,

  • x + 2x + 90 = 180
  • 3x = 90
  • x = 90/3
  • x = 30

Angles ,

  • 90°
  • x = 30°
  • 2x = 60°
User Amaury Liet
by
8.7k points

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