Answer:
8
Explanation:
Due to lines r & s being parallel to each other, we can apply the rule of alternate interior angles to solve for y in this problem.
Applying this, we'll be obtaining the equation that of:
![116=15y-4](https://img.qammunity.org/2023/formulas/mathematics/college/kmi8w4n664kpdqy1nnftrv0wb1ofi1tjvv.png)
We now simply solve for y.
![120=15y\\y=8](https://img.qammunity.org/2023/formulas/mathematics/college/7zuyg9dmdh7zxetbdu1pod2ygpnu0g99gf.png)
Therefore, y is equal to 8.
This can be checked by plugging it into the equation:
![15(8)-4](https://img.qammunity.org/2023/formulas/mathematics/college/5n4i0a6c2gaj99wjkmbqre5njn2zwj2ckx.png)
![120-4](https://img.qammunity.org/2023/formulas/mathematics/college/hfcqdn2a1gm533nj85ek7pfk4lowtp9ec7.png)
![116](https://img.qammunity.org/2023/formulas/mathematics/college/c92a44glgxxpud6gzdnrf6m44lllqp3x3w.png)
And look at that, we got 116 for our answer, exactly the same as the other angle.
Any questions feel free to ask :)