Question

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

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(47^\circ+(p + 48^\circ)+(p + 41^\circ)=180^\circ\).

Step2: Simplify the equation

Combine like terms: \(47 + p + 48 + p + 41 = 180\) → \(2p+136 = 180\).

Step3: Solve for \(p\)

Subtract 136 from both sides: \(2p=180 - 136 = 44\). Divide by 2: \(p=\frac{44}{2}=22\).

Answer:

\(22\)