in a right angled triangle the Acute angles are in the ratio of 4:5. find the acute angles   

Dear Student,

Please find below the solution to the asked query:

We know in right angle one angle of triangle is at 90$°$ and given  the Acute angles are in the ratio of 4 : 5 , So

Let ratio coefficient =  x , So Other two acute angles are 4 x and 5 x .

And from angle sum property of triangle we get know sum of all three internal angles of triangle is at 180$°$ , So

90$°$  + 4 x  + 5 x  =  180$°$  ,

90$°$  + 9  x  =  180$°$ ,

9 x  =  90$°$ ,

x  =  10$°$

Therefore,

Other two acute angles are : 4 ( 10$°$) = 40$°$ and 5(10$°$) = 50$°$                                               ( Ans )

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