SOLUTION: find the measure of an angle whose supplement is 7 times its comeplement. complete the remaining steps of the 5 step solution. here is the five step method 1 use variables 2

Question 205751This question is from textbook algebra 1 an integrated approach
: find the measure of an angle whose supplement is 7 times its comeplement. complete the remaining steps of the 5 step solution.
here is the five step method
1 use variables
2 draw a diagram
3 draw a table
4 set up and solve the equation
5 check your answer This question is from textbook algebra 1 an integrated approach

Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
complements,,,,x+y =90,,,,,,,draw rt angle,,,and divide into 2 angles, x & y
.
supplements,,,x+z=180,,,,,,,,draw a straight line,,,divide into 2 angles,x&z
.
let z=7y,,,given
.
(1) x+z=180,but z=7y,,,x+7y =180,,,,or x=180-7y
.
(2) x+y =90,,,,,,substitute (1) into (2)
.
(180-7y) +y =90
.
-6y = -90
.
y=15,,,x=180=7(15) = 75,,,,,z= 7y = 105
.
checking, x+y=90,,,,,75 +15 = 90,,,,ok
.
x+z = 180,,, 75 +105 = 180,,,,ok
.
z= 7y,,,,,105 = 7*15,,,,,,ok
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