Question

what is the value of p?

Explanation:

Step1: Identify the right angle

The diagram has a right angle (indicated by the red square), so the total angle is \(90^\circ\).

Step2: Set up the equation

We know that \(p + 52^\circ = 90^\circ\) (since the sum of the two angles in the right angle is \(90^\circ\)).

Step3: Solve for \(p\)

Subtract \(52^\circ\) from both sides: \(p = 90^\circ - 52^\circ\)
\(p = 38^\circ\)

Answer:

\(38\)