Answer:
[tex]p=39.4[/tex]°
Step-by-step explanation:
[tex]4a+4+75+p=180[/tex] (The sum of angles on a triangle is [tex]180[/tex]°)[tex]4a+p=180-4-75[/tex]
[tex]4a+p=101[/tex]
[tex]p+9a+2=180[/tex] (Angles of a straight line sums to [tex]180[/tex]°)
[tex]p + 9a = 178[/tex]
Elimination can be used to find the value of one variable:
[tex]p+9a-(4a+p)=178-101[/tex]
[tex]5a = 77[/tex]
[tex]a=15.4[/tex]
Now, the value of [tex]p[/tex] can be found by using substitution:
[tex]4a+p = 101[/tex]
[tex]4(15.4)+p=101[/tex]
[tex]p = 101-61.6[/tex]
[tex]p = 39.4[/tex]
I hope this helps :)
