Question

How do I find the value of y?

Answer 1

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