Answer:
x=10
Explanation:
A straight line has an angle of 180 degrees. To solve for x we can add all the given angles and set them equal to 180.
![180= 5x-1+9x+8+2x+13](https://img.qammunity.org/2021/formulas/mathematics/high-school/k3uw6fqsenumlnj9jucda3cnssn839d1f9.png)
Then combine all the common factors
![180=16x+20](https://img.qammunity.org/2021/formulas/mathematics/high-school/t5tdxbrrzhakj0fyudrrqty4xurk4fi8jq.png)
And then you can solve for x
![180= 16x+20\\160=16x\\10=x](https://img.qammunity.org/2021/formulas/mathematics/high-school/5sead8wmuzp5nj0czng5038ev01ciav875.png)
To check if x is correct you can plug in 10 to each equation. If all the equations add up to 180, then x is correct
![5(10)-1= 49\\9(10)+8= 98\\2(10)+13= 33\\\\49+98+33=180](https://img.qammunity.org/2021/formulas/mathematics/high-school/o87vf535cmgh00h2m1wus0f8t6kdplc6zt.png)