The sum of two angles is 5πc and their difference is 60°. The angles

1.	The sum of two angles is 5πc and their difference is 60°. The angles in degrees are (A) 400°, 480°(B) 340°, 420°(C) 480°, 420°(D) 440°, 460°
Answer» (C) 480°, 420° Let the measures of two angles be x and y x + y = 5π^c ⇒ x + y = \((5\pi\times\frac{180}{\pi})°\) ∴ x + y = 900° ….(i) and x - y = 60° ….(ii) Adding (i) and (ii), we get x = 480° Putting x = 480° in (i), we get y = 420° ∴ the two angles are 480° and 420°.

The sum of two angles is 5πc and their difference is 60°. The angles in degrees are (A) 400°, 480°(B) 340°, 420°(C) 480°, 420°(D) 440°, 460°

Answer»

(C) 480°, 420°

Let the measures of two angles be x and y

x + y = 5π^c

⇒ x + y = \((5\pi\times\frac{180}{\pi})°\)

∴ x + y = 900° ….(i)

and x - y = 60° ….(ii)

Adding (i) and (ii), we get

x = 480°

Putting x = 480° in (i), we get

y = 420°

∴ the two angles are 480° and 420°.