Answer: The correct option is (D) 90.
Step-by-step explanation: We are given to find the value of p from the figure shown.
We note from the figure that
a quadrilateral is inscribed in a circle, so it is a cyclic quadrilateral.
Also, we know that the the sum of the opposite angles of a cyclic quadrilateral is 180°.
In the given circle, the opposite angle to the angle with measure p° is 90°.
Therefore, we must have
[tex]p^\circ+90^\cir=180^\circ\\\\\Rightarrow p+90=180\\\\\Rightarrow p=180-90\\\\\Rightarrow p=90.[/tex]
Thus, the required value of p is 90.
Option (D) is CORRECT.
