Question

The difference between two acute angles of a right angled triangle is (3π/10)^c.Find the angles in degrees. *
a) 720, 180
b) 620, 280
c) 750, 150
d) none of these
Other:-

Answer 1

Answered

the difference between two acute angles of a right triangle is 3pie/10 radian .express the angle in degree

Asked by tushar goyal | 9th Aug, 2013, 01:48: PM

Expert Answer:

Let the acute angles be x and y.

Therefore, x-y = 3pi/10 = 3*180/10 = 54o

x = 54 + y..............(1)

And also x and y are acute angles of a right angles triangle.

So, x+y = 90o.................(2)

Putting the value of x from (1) in (2),

(54+y) + y = 90

54 + 2y = 90

2y = 36

y = 18o

Therefore, x = 18+54 = 72o