Question

In a right-angled triangle, the two acute angles are in the ratio 4:5. Find these angles.​

Answer 1

Answer:

Let the two angles be

4x and 5x respectively.

Sum of all angles of triangle= 180°

90°+ 4x + 5x = 180°

90°+9x= 180°

9x= [180-90]°

9x= 90°

x= 90÷ 9

x = 10

second angle= 4x= 4×10=40°

3rd angle= 5x = 5×10=50°

Answer 2

Answer:

50 and 40

Step-by-step explanation:

given two acute angle s in the ratio of 4:5

let assume two angles as 4x and 5x

in a triangle the sum of angles =180

and given it is a right angled triangle so one angle = 90

sum of angles ina triangle

5x+4x+90=180

9x+90=180

9x=90

x=10

We have the two acute angle as 4x and 5x substitute x value in the angle is

4(10)=40and 5(10)=50

so the acute angles are 40and50