Question

The acute angle of right angle triangle are in the ratio 2:1 find rach of the following angles

Answer 1

$In\; a\; right\; angled\; triangle \; One\; angle\; = 90°We know that ,Sum of angles in a traingle =180° .Given that ratio of other two angles =1:2 .Let the other angles be x,2x.Now ,According to The Angle Sum Property. = x + 2x + 90 = 180= 3x =90= x =30 .Therefore ,Now angles are 30° , 60° .If The acute angle of a right triangle are in the ratio 2: 1 , Then the acute angles are 30° , 60° .$

Answer 2

Answer:

Ratio of two acute angle = 2:1

Let, One angle = 2x

Another angle = x

So,

x + 2x + 90 = 180

=> 3x = 180 - 90

=> 3x = 90

=> x = 90/3

=> x = 30

One angle = 2 × 30 = 60 degree

Another angle = 30 degree

Ans. 30 degree, 60 degree, 90 degree.

Hope it helps.