SOLUTION: Please help me solve this equation: the measure of the supplement of an angle is 60 degrees less than twice the measure of the angle. Find the measures of both angles. (algebraic s

Question 444904: Please help me solve this equation: the measure of the supplement of an angle is 60 degrees less than twice the measure of the angle. Find the measures of both angles. (algebraic solution)
Found 2 solutions by nerdybill, swincher4391:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
the sum of an integer squared and 4 times the integer is 77. Find the integers
.
Let x = the integers
then
x^2 + 4x = 77
x^2 + 4x - 77 = 0
(x+11)(x-7) = 0
x = {-11, 7}

Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
By definition, supplementary angles add up to 180. So we have two angles. Let's call them A and B. Now we are given an angle. Its measure is 2B - 60. Let's call this A. Then by definition, 2B - 60 + B = 180. Solve for B. Then:
-
3B = 240, B = 80.
-
Since we know B = 80 and we have an expression for A, A= 2B-60, then:
-
A = 2(80) - 60
A= 100
So our two angles are 100 and 80, which obviously add up to 180.
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