Answer:
![p=38\°](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jibr1ynots8xs8pz4e2m9dfpyp1nhf4crw.png)
Explanation:
By definition, you know that:
![(p+29\°)+(7p+27\°)=360\°](https://img.qammunity.org/2020/formulas/mathematics/middle-school/s2cmyp1gl2e50oajwj77cgdhabpwijo0sf.png)
Therefore, keeping this on mind, you can find the value of p, as following.
- Add the like terms:
![p+29\°+7p+27\°=360\°\\8p+56\°=360\°](https://img.qammunity.org/2020/formulas/mathematics/middle-school/eljw3c9k0p77wy0oa6fzg0egbem0mqmy83.png)
- Subtract 56° from both sides of the equation and then divide both sides of thte equation by 8.
Therefore, you obtain that the value of p is:
![8p+56\°-56\°=360\°-56\°\\8p=304\\\\(8p)/(8)=(304\°)/(8)\\p=38\°](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7owezb62j2thwgh4cxgifzqc35j03xzvyh.png)