Question

If the difference between two acute angles of a right angled triangle is 2π^c/5 , then the angles in degrees are 

(A) 81°, 9° 

(B) 35°, 55°

(C) 20°, 40°

(D) 50°, 30°

Answer 1

(A) 81°, 9° 

Let the measure of the two acute angles be x and y in degrees  

∴ x + y = 90°......(i)

∴ x - y = 72° ….(ii)

Adding (i) and (ii), we get 

2x = 162°

⇒ x = 81°

Putting the value of x in (i), we get 

y = 9°