SOLUTION: Given the following angles, Find the angle of the supplement and complement for each. <1=X degrees The complement of an angle is four times as large as the angle.

Algebra ->  Angles -> SOLUTION: Given the following angles, Find the angle of the supplement and complement for each. <1=X degrees The complement of an angle is four times as large as the angle.      Log On


   

Question 1045759: Given the following angles, Find the angle of the supplement and complement for each.
<1=X degrees
The complement of an angle is four times as large as the angle.
Found 2 solutions by ewatrrr, funmath:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
∠1 = X AND ∠2 = 4X
X + 4X = 90°
5X = 90
X = 18°, THE COMPLEMENT 4X = 72° AND THE SUPPLEMENT IS (180-18) = 162°

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
The trick to this is knowing that complementary angles add to be 90 degrees and supplementary angles add to be 180 degrees.
Let the angle be: X
It's complement is 4 times as large so it is: 4X
In words: angle + complement = 90
The equation to solve then is:
X%2B4X=90
5X=90
5X%2F5=90%2F5
X=18
That is the measure of the angle highlight%2818%29
It's complement is 4X so 4(18) is highlight%2872%29
For the supplement in words:
angle + its supplement = 180
We already used X, so let's let the supplement be: Y
18%2BY=180
18%2BY-18=180-18
Y=162
So the supplement is highlight%28162%29
If you are in algebra 2, they may have wanted you to use two equations, two unknowns...but you should get the same result.
Happy Calculating!