Question

What is the value of p? Please provide an explanation, thanks!

Answer 1

Answer:

$p=39.4$°

Step-by-step explanation:

$4a+4+75+p=180$ (The sum of angles on a triangle is $180$°)$4a+p=180-4-75$

$4a+p=101$

$p+9a+2=180$  (Angles of a straight line sums to $180$°)

$p + 9a = 178$

Elimination can be used to find the value of one variable:

$p+9a-(4a+p)=178-101$

$5a = 77$

$a=15.4$

Now, the value of $p$ can be found by using substitution:

$4a+p = 101$

$4(15.4)+p=101$

$p = 101-61.6$

$p = 39.4$

I hope this helps :)