SOLUTION: `If <1 and <2 are complementes and m<1= (5y +1) and m<2= (3y-7) find the value of y?

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Question 1055975: `If <1 and <2 are complementes and m<1= (5y +1) and m<2= (3y-7) find the value of y?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The two angles are complementary angles. By definition, they add to 90 degrees.

(measure of angle 1) + (measure of angle 2) = 90
(5y+1) + (3y-7) = 90
5y+1 + 3y-7 = 90
(5y+3y) + (1-7) = 90
8y - 6 = 90
8y - 6+6 = 90+6
8y = 96
8y/8 = 96/8
y = 12