Question

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

Answer 1

`p=39.4`°

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 :)