SOLUTION: Find the angles when the larger angle is 6 degrees more than 2times the smaller on a complementary angle

Question 941097: Find the angles when the larger angle is 6 degrees more than 2times the smaller on a complementary angle
Answer by laoman(51) (Show Source): You can put this solution on YOUR website!
Two angles are complimentary if they sum up to 90 degrees
let the smaller angle be x and larger angle be y
From the first statement, y = 2*x + 6
Cause they are compliments, x + y = 90
Solving the systems of equation
2x - y = -6
x + y =90

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
We'll use substitution. After moving 1*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=62. Since , x=28.

Answer: .

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