Answer:
The answer is that y = 3
Step-by-step explanation:
In order to find y, you must first find x. You can do that by noting the two angles next to each other create a straight line and therefore are equal to 180 degrees.
(4x + 23) + (9x - 38) = 180
13x - 15 = 180
13x = 195
x = 15
Now that we have the value of x, we can use the alternating interior angle theorem to tell that 27y - 1 is equal to 4x + 23. Using our value for x, we can solve for y.
27y - 1 = 4x + 23
27y - 1 = 4(15) + 23
27y - 1 = 60 + 23
27y - 1 = 83
27y = 84
y = 3
