In a right-angled triangle, the difference between the two acute angles is `(pi/15)^(c )`. Find the angle in degrees.

In a right-angled triangle, the difference between the two acute angle

1.	In a right-angled triangle, the difference between the two acute angles is `(pi/15)^(c )`. Find the angle in degrees.
Answer» Clearly, the sum of the two acute anles of a right triangleis `90^(@)`. Difference between the acute angles `= (pi/15)^(c )= (pi/15 xx 180/pi)^(@) = 12^(@)`. Let the two acute be `x^(@)` and `y^(@)` . Then, `x + y= 90 "…….."(i)` `x- y = 12 "............" (ii)` Solving (i) and (ii), we get `x = 51` and `y = 39`. Hence, the angles of triangleare `51^(@), 39^(@)` and `90^(@)`.