ZakariahS57104 ZakariahS57104
  • 30-10-2022
  • Mathematics
contestada

geometry, (p+1) + (p+23) + 2p = 180 what is the value of p?p = [ ]°

geometry p1 p23 2p 180 what is the value of pp class=

Respuesta :

MakaylenU49761 MakaylenU49761
  • 30-10-2022

Explanation:

As you said in the question the sum of the interior angles of a triangle is 180º

[tex](p+1)+(p+23)+(2p)=180[/tex]

We have to sum the terms that have p and the terms that don't:

[tex](p+p+2p)+(1+23)=180[/tex][tex]\begin{gathered} 4p+24=180 \\ 4p=180-24 \\ 4p=156 \\ p=\frac{156}{4}=39 \end{gathered}[/tex]

Answer:

p = 39

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