The complement of an angle is 5° more than 1/6 its supplement. What is the angle?
2007-01-06 18:05:04 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
(90-x)+5 = (180-x)/6
540 -6x + 30 = 180 - x
540 - 180 + 30 = 5x
390 = 5x
x = 78
So the angle is 78 degrees
2007-01-06 18:11:35 · answer #1 · answered by Anonymous · 0⤊ 0⤋
90°- x = (180° - x)1/6 + 5°
= 180°/6 - x/6 + 5°
-x+x/6 = 30°+ 5°- 90°
-6x+x/6 = 35°- 90°
-5x/6 = -55°
-5x = -55° * 6
-5x = -330°
x = -330°/-5
x = 66°
hence the angle is 66°
2007-01-06 22:24:12 · answer #2 · answered by Akshitha 5 · 0⤊ 0⤋
90°- x = (180° - x)/6 + 5°
540° - 6x = 180° - x + 30°
5x = 540° - 210°
5x = 330°
x = 66°
24 = 114/6 + 5
2007-01-06 18:19:46 · answer #3 · answered by Helmut 7 · 0⤊ 0⤋
Let
x = angle in question
90 - x = (180 - x)/6 + 5
85 - x = 30 - (1/6)x
55 = (5/6)x
66 = x
x = 66°
2007-01-06 20:00:21 · answer #4 · answered by Northstar 7 · 0⤊ 0⤋
5 degree itself
2007-01-06 18:08:05 · answer #5 · answered by Rakesh Kashyap 2 · 0⤊ 1⤋