Question

the diagram shows a triangle. what is the value of p? p = \boxed{}°

Explanation:

Step1: Use the triangle angle sum formula

The sum of angles in a triangle is \(180^{\circ}\). So, \(43^{\circ}+105^{\circ}+16p = 180^{\circ}\).

Step2: Simplify the left - hand side

\(43 + 105+16p=148 + 16p\). Then the equation becomes \(148+16p = 180\).

Step3: Solve for \(p\)

Subtract \(148\) from both sides: \(16p=180 - 148\). So, \(16p = 32\). Divide both sides by \(16\): \(p=\frac{32}{16}\).

Answer:

\(2\)