Answer:
![x=4](https://img.qammunity.org/2022/formulas/mathematics/high-school/lp82zoco0xlpxlhep3s8xzw5somhig1a8c.png)
Explanation:
Hi there!
The two angles given are opposite angles, meaning that they are angles opposite of each other at an intersection.
Opposite angles are always equal:
![8x-5=2x+19](https://img.qammunity.org/2022/formulas/mathematics/college/uvcw7yvrd2tof15frtcvcmygkjzjvebk7x.png)
Combine like terms:
![6x=24](https://img.qammunity.org/2022/formulas/mathematics/high-school/xaa74swpzjdhpdwfn6pddw0tbhjbk58ylj.png)
Divide both sides by 6 to isolate x:
![x=4](https://img.qammunity.org/2022/formulas/mathematics/high-school/lp82zoco0xlpxlhep3s8xzw5somhig1a8c.png)
I hope this helps!