the diagram shows a triangle. what is the value of p? p =

Explanation:

Step1: Use the triangle angle sum property

The sum of angles in a triangle is (180^{\circ}). So, ((p - 3)+3p + 39=180).

Step2: Simplify the left - hand side

Combine like terms: (p-3 + 3p+39=(p + 3p)+(-3 + 39)=4p+36). The equation becomes (4p + 36=180).

Step3: Solve for (p)

Subtract 36 from both sides: (4p=180 - 36), so (4p=144). Then divide both sides by 4: (p=\frac{144}{4}).

Answer:

(p = 36)