Question

Given line l and line M are parallel. Find the value of x and y.

Answer 1

Answer:

x = 4

y = 10

Step-by-step explanation:

29x - 3 + 15x + 7 = 180 (Linear Pair)

44x + 4 = 180

44x + 4 = 180 - 4

44x = 176

$\frac{44x}{44} = \frac{176}{44}$

x = 4

29(4) - 3

116 - 3

113

13y - 17 = 113 (Alternate Exterior Angles Theorem)

13y - 17 + 17= 113 + 17

13y = 130

$\frac{13y}{13} = \frac{130}{13}$

y = 10