Question

what is the value of p?
p = □°

Explanation:

Step1: Use the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(50^{\circ}+34^{\circ}+12p = 180^{\circ}\).

Step2: Simplify the left - hand side

First, add \(50^{\circ}\) and \(34^{\circ}\): \(50 + 34=84\). The equation becomes \(84+12p = 180\).

Step3: Solve for \(12p\)

Subtract \(84\) from both sides of the equation: \(12p=180 - 84\). So, \(12p = 96\).

Step4: Solve for \(p\)

Divide both sides of the equation \(12p = 96\) by \(12\): \(p=\frac{96}{12}\).

Answer:

\(8\)