Question

what is the value of p?

Explanation:

Step1: Use vertical angles property

Vertical angles are equal. The angle opposite to \(76^{\circ}\) is also \(76^{\circ}\).

Step2: Apply angle - sum relationship

We know that \(76^{\circ}=p + 33^{\circ}\) (because of the angle - sum around the intersection point).
To find \(p\), we use the formula \(p=76^{\circ}-33^{\circ}\).

$$p = 76 - 33$$

$$p=43$$

Answer:

\(43\)