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

Question

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, \(8p + 6p+16p=180\).

Step2: Combine like - terms

\((8 + 6+16)p=180\), which simplifies to \(30p = 180\).

Step3: Solve for \(p\)

Divide both sides by \(30\), \(p=\frac{180}{30}\).

Answer:

\(6\)