Question

Find the value of x and y in the figure. State which theorems you used.

Answer 1

Answer:

x = 18 ; y = 7.5

Step-by-step explanation:

Using Consecutive Interior angles theorem for parallel lines:

(8x - 7) + (3x -11) = 180

11x - 18 = 180

11x = 180 + 18

11x = 198

x = 198/11

x = 18

Using Alternate interior angles theorem for parallel lines:

(2y + 23) = (4y + 8)

23 - 8 = 4y - 2y

15 = 2y

y = 15/2

y = 7.5