Question

what is the value of p?

Explanation:

Step1: Apply angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. So, $(p - 50^{\circ})+p+(180^{\circ}-(p + 49^{\circ}))=180^{\circ}$.

Step2: Simplify the left - hand side of the equation

First, expand the equation: $p-50^{\circ}+p + 180^{\circ}-p - 49^{\circ}=180^{\circ}$.
Combine like - terms: $(p + p - p)+(180^{\circ}-50^{\circ}-49^{\circ})=180^{\circ}$, which simplifies to $p+(81^{\circ})=180^{\circ}$.

Step3: Solve for p

Subtract 81° from both sides of the equation: $p=180^{\circ}-81^{\circ}$.
$p = 99^{\circ}$

Answer:

$99^{\circ}$