SOLUTION: the mesures of two complementary angles are represented by x+5 and 4x-15 find the value of x

Question 15271: the mesures of two complementary angles are represented by x+5 and 4x-15 find the value of x
Found 2 solutions by rapaljer, tennis_math:
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Complementary angles means that the sum of the angles equals 90 degrees.

x+5 + 4x -15 = 90
5x -10 = 90
5x - 10 + 10 = 90 + 10
5x = 100
x= 20 degrees-- Final answer!

However, as a check, let's find the two angles and see if they add up to 90 degrees.
x+5 = 25 degrees
4x-15= 80-15 = 65 degrees
25 + 65 = 90
It checks!

R^2 at SCC

Answer by tennis_math(7) (Show Source): You can put this solution on YOUR website!
Two complementary angles add up to 90 degrees. This means that (x+5)+(4x-15)=90
This means 5x+5-15=90, combine like terms(5 and -15) to get 5x-10=90, add ten to both sides and get 5x=100, divide both sides by 5 and you get x=20
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