Question

what is the value of p? p = 10°

Explanation:

Step1: Set up the equation

Since the two - angle expressions are equal (by some geometric property, likely related to congruent triangles or angle - bisector), we set $8p + 3=16p-77$.

Step2: Move the terms with $p$ to one side

Subtract $8p$ from both sides: $3 = 16p-8p - 77$, which simplifies to $3=8p - 77$.

Step3: Isolate the term with $p$

Add 77 to both sides: $3 + 77=8p$, so $80 = 8p$.

Step4: Solve for $p$

Divide both sides by 8: $p=\frac{80}{8}=10$.

Answer:

$10$