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.
Algebra ->
Geometry-proofs
-> 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.
Log On
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
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.
