Question

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

Answer 1

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°

Answer 2

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°