Question

what is the value of p? write your answer as an integer or as a decimal rounded to the nearest tenth.

Explanation:

Step1: Apply angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, $(p + 19)+3p+(180-(5p - 8))=180$.

Step2: Simplify the left - hand side

First, expand the expression: $p + 19+3p+180 - 5p + 8=180$.
Combine like terms: $(p+3p - 5p)+(19 + 180+8)=180$, which gives $-p+207 = 180$.

Step3: Solve for p

Add p to both sides: $207=180 + p$.
Subtract 180 from both sides: $p=207 - 180$.
$p = 27$.

Answer:

27