Question

solve for the value of p.

Explanation:

Step1: Use the straight - angle property

The sum of angles on a straight line is \(180^{\circ}\). So, \(41^{\circ}+90^{\circ}+(p - 3)^{\circ}=180^{\circ}\).

Step2: Simplify the left - hand side

First, add \(41\) and \(90\): \(41+90+(p - 3)=131+(p - 3)\). Then, using the distributive property \(a+(b - c)=a + b - c\), we get \(131+p-3=p + 128\). So, \(p + 128=180\).

Step3: Solve for \(p\)

Subtract \(128\) from both sides of the equation \(p+128 = 180\). We have \(p=180 - 128\).

Answer:

\(p = 52\)