Answer: [tex]p=38\°[/tex]
Step-by-step explanation:
By definition, you know that:
[tex](p+29\°)+(7p+27\°)=360\°[/tex]
Therefore, keeping this on mind, you can find the value of p, as following.
- Add the like terms:
[tex]p+29\°+7p+27\°=360\°\\8p+56\°=360\°[/tex]
- 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:
[tex]8p+56\°-56\°=360\°-56\°\\8p=304\\\\\frac{8p}{8}=\frac{304\°}{8}\\p=38\°[/tex]
