Question

what is the value of p? p =

Explanation:

Step1: Identify congruent - side relationship

Since the two - triangle parts are congruent (by the markings, we assume the segments are equal based on some congruence postulate like SSS, SAS etc., and here we have equal segments), we can set up an equation based on the side - length equality. The two equal sides give us the equation $5p=p + 68$.

Step2: Solve the equation for $p$

Subtract $p$ from both sides of the equation $5p=p + 68$. We get $5p−p=p + 68−p$, which simplifies to $4p=68$.

Step3: Isolate $p$

Divide both sides of the equation $4p = 68$ by 4. So, $p=\frac{68}{4}$.

Answer:

$17$