Answer:
x = 2
y = 5
1 = 80
2= 10
3 = 100
Step-by-step explanation:
Complementary angles add to 90.
So 5(x+14) + 2(10-y) = 90. Solve for x.
5x + 70 + 20 -2y = 90
5x - 2y = 0
Supplementary angles add to 180.
So 5(x+14) + 121-3x-3y = 180. Solve for x.
5x + 70 + 121 -3x -3y = 180
2x - 3y = -11
This creates a system of equations. Solve using elimination.
5x - 2y = 0 ------> 10x - 4y =0
2x - 3y = -11 ------> 10x -15y = -55
_____________
11y = 55
y = 5
Substitute y=5 into the equation to find x.
2x - 3(5) = -11
2x - 15 = -11
2x = 4
x=2
Find the measure of each angle by substituting x = 2 and y =5 into each angle.
