what is the value of p?

Explanation:

Step1: Recall angle - sum property

The sum of angles around a point is 360°.

Step2: Set up the equation

Let the unknown angle be (p). We have (p + 91^{\circ}+61^{\circ}+ \text{(the other two angles which we assume are part of the full - circle sum)}=360^{\circ}). Since the sum of all angles around a point is 360°, and we know two of the angles are 91° and 61°, we can write the equation (p+91 + 61=360).

Step3: Solve for (p)

First, simplify the left - hand side: (p+(91 + 61)=p + 152). Then, we have the equation (p+152 = 360). Subtract 152 from both sides: (p=360 - 152). (p = 208^{\circ})

Answer:

208