Answer:
From given relation the value of β is 37.5°
Step-by-step explanation:
Given as :
α and β are two acute angles of right triangle
Acute angle have measure less than 90°
Now given as :
= 
Or,
= 
SO,
= 
Or, 90° =
+ 
or, 90° =
+ 4x
Or, 90° = 
So, x =
= 15°
∴
= 
So,
= sin
∴ The value of Ф_1 =
= 37.5°
Similarly
= 
So ,The value of Ф_2 =
= 52.5°
∵ β
α
So, As 37.5°
52.5°
∴ β = 37.5°
Hence From given relation the value of β is 37.5° Answer
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