Question

what is the value of p? p = °

Explanation:

Step1: Use exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(p + 39^{\circ}=p+(p - 23^{\circ})\).

Step2: Simplify the equation

\[

$$\begin{align*} p + 39^{\circ}&=p+(p - 23^{\circ})\\ p+39^{\circ}&=2p - 23^{\circ} \end{align*}$$

\]

Step3: Solve for \(p\)

Add \(23^{\circ}\) to both sides: \(p+39^{\circ}+23^{\circ}=2p-23^{\circ}+23^{\circ}\), which gives \(p + 62^{\circ}=2p\). Then subtract \(p\) from both sides: \(p - p+62^{\circ}=2p - p\).

Answer:

\(p = 62^{\circ}\)