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