Question

what is the value of p? p =

Explanation:

Step1: Identify congruent angles

Since the two right - angled triangles seem to be congruent (by some unstated congruence criterion, perhaps AAS or ASA based on the right - angles and the marked equal angles), the corresponding sides are equal. So, we can set up an equation based on the equality of the sides: $4p=7p - 66$.

Step2: Solve the equation for p

Subtract $4p$ from both sides: $0 = 7p-4p - 66$, which simplifies to $0 = 3p-66$. Then add 66 to both sides: $3p=66$. Divide both sides by 3: $p=\frac{66}{3}$.

Answer:

$22$