If l parallel m find the value of x and y

14. x = 16; y = 23

15. x = 9; y = 13

Step-by-step explanation:

14. (4x + 4) = (7x - 44) (alternate exterior angles are congruent)

4x + 4 = 7x - 44

Collect like terms

4x - 7x = -4 - 44

-3x = -48

Divide both sides by -3

x = -48/-3

x = 16

39° + (8y - 43)° = 180° (consecutive exterior angles are supplementary)

39 + 8y - 43 = 180

Add like terms

-4 + 8y = 180

Add 4 to both sides

8y = 180 + 4

8y = 184

Divide both sides by 8

y = 184/8

y = 23

15. (15x - 26)° = (12x + 1)° (alternate exterior angles are congruent)

15x - 26 = 12x + 1

Collect like terms

15x - 12x = 26 + 1

3x = 27

Divide both sides by 3

x = 27/3

x = 9

28° + (12x + 1)° + (4y - 9)° = 180° (sum of interior angles of ∆)

Plug in the value of x

28 + 12(9) + 1 + 4y - 9 = 180

28 + 108 + 1 + 4y - 9 = 180

Add like terms

128 + 4y = 180

Subtract 128 from each side of the equation

4y = 180 - 128

4y = 52

Divide both sides by 4

y = 52/4

y = 13

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.