SOLUTION: Find the measure of the angle such that the sum of its complement and supplement is 6 degrees more than nine times the angle

Question 998471: Find the measure of the angle such that the sum of its complement and supplement is 6 degrees more than nine times the angle
Answer by clearblueskai(22) (Show Source): You can put this solution on YOUR website!
first, set up equations.
let x be the angle, y be the complement and z be the supplement
eq. 1: x+y= 90
eq. 2: x+z= 180
eq. 3: y+z = 9x+6
Change eq. 1 and eq. 2 in terms of y and z
eq. 1: y = 90-x
eq. 2: z = 180-x
substitute these two equations in eq.3
(90-x) + (180-x) = 9x+6
Solve for x
90 - x + 180 - x = 9x + 6
90 + 180 - 6 = 9x + x + x
264 = 11x
264/11 = x
24 = x

RELATED QUESTIONS
Find the measure of an angle such that the sum of its supplement and four times its... (answered by Boreal)

Find the measure of an angle such that the difference between the measure of its... (answered by edjones)

Find the measure of an angle such that the difference between the measure of its... (answered by richwmiller)

The measure of the angle supplement is 60 degrees more than four times of that of its... (answered by stanbon)

Find the measure of an angle whose supplement measures 6 degrees more than 4 times its... (answered by mananth)

Find the measure of an angle such that the sum of the measures of its complement and its... (answered by nerdybill,josmiceli)

find the measure of an angle such that the sum of the measures of its complement and its... (answered by josmiceli)

the measure of the angle's supplement is 30 degrees more than 4 times that of its... (answered by J2R2R)

The measure of the angles supplement is 30 degrees more than five times that of its... (answered by Fombitz)