SOLUTION: two angles are complementary. one angle is 12 degree larger than the other. using two variables x and y, find the size of each angle by solving a system of equations.

Question 201493This question is from textbook
: two angles are complementary. one angle is 12 degree larger than the other. using two variables x and y, find the size of each angle by solving a system of equations. This question is from textbook

Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
two angles are complementary. one angle is 12 degree larger than the other. using two variables x and y, find the size of each angle by solving a system of equations.
.
Two angles are complementary if the sum of the two angles equals 90 deg.
.
Let x = one angle
and y = second angle
.
equation 1:
x + y = 90
equation 2:
y = x+12
.
Substitute the value of y from equation 2 into equation 1 and solve for x:
x + y = 90
x + x+12 = 90
2x + 12 = 90
2x = 78
x = 39 degrees
.
Substitute the above into equation 2 and solve for y:
y = x+12
y = 39+12
y = 51 degrees
.
Angles are 39 and 51 degrees.

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