Question

The acute angle of a right angle triangle are in the ratio 2:1. Find each of these angle

Answer 1

Answer:

Let the three angles be ∠A,∠B,∠C

and

∠A=2x°

∠B=1x°

∠C=90°

[∵ from the question the given triangle is a right angled triangle. In this one of the angle is equal to 90°

)

Now

∠A+∠B+∠C=180°

(sum of the angles of a triangle is 180°)

2x°+1x° +90° =180°

3x° =180°−90°

3x ° =90°

x° =90/3=30

Now, substitute the value of x in the given angles

∠A=2x°=2×30=60°

∠B=1x° =1×30=30°

Hence the other angles are 60°and 30°

Answer 2

Answer:

let,the ratio be =x

a/q

2x+3x=90

5x=90

x=90/5

x=18

first ratio2x. second ratio3x

2*18. 3*18

36. 54