Twice the measure of the supplement of an angle is 50 less than seven times its complement. Find the measure of the angle, its supplement, and its complement. Show all work to receive credit
2007-10-18 16:04:08 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
2(180-x)=7(90-x)-50
360-2x=630-7x-50
360-2x=580-7x
5x=220
x=44
then angle is 44,
the complement is 90-44 or 46
the supplement is 180-44 or 136
2007-10-18 16:15:44 · answer #1 · answered by RickSus R 5 · 0⤊ 0⤋
Let's call the angle "x"
Twice the supplement (2x) is 50 less than 7 times its complement 7*(90-x)
2x+50=7*(90-x)
Expand the parentheses: 2x+50=630-7x
Add 7x to both sides: 9x+50=630
Subtract 50 from both sides: 9x=580
Divide by 9: x=580/9 or 64.44444 (the 4 repeats)
2007-10-18 23:12:22 · answer #2 · answered by TOA Voldrixia 1 · 0⤊ 0⤋
If the SUPPLEMENT is x, the compliment is x-90.
2x+50 = 7(x-90) so solve for x and 180-x.
2007-10-18 23:15:45 · answer #3 · answered by cattbarf 7 · 0⤊ 0⤋
x = angle
180 - x = supplement of angle
90 - x = complement of angle
2(180 - x) = 7(90 - x) - 50
360 - 2x = 630 - 7x - 50
5x = 220
x = 44
supplement = 136
complement = 46
2007-10-18 23:16:21 · answer #4 · answered by ChemistryMom 5 · 0⤊ 0⤋
formula:
2(180-x)= 7(90-x) - 50
2007-10-18 23:07:40 · answer #5 · answered by Moose 4 · 1⤊ 0⤋