We know that, 1c = `(180/pi)^circ` ∴ 5πc = `(5pi xx 180/pi)^"c"` = 900° Let the degree measures of the angles be x and y. Then x + y = 900° ...(1) and x – y = 60° ...(2) 2x = 960° x = 480° Adding (1) and (2), we get, 2x = 960° ∴ x = 480° ∴ Substituting the value of x in (1), we get480° + y = 900° ∴ y = 900° − 480° ∴ y = 420° Hence, the degree measures of the two angles are 480° and 420°. |